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# Pros and Cons of Block Cipher's Mode of Operations?

What are the Pros and Cons of Block Cipher's Modes of Operations(ECB, CBC, CTR, OFB, CCM, GCM) in terms of

1. Confidentiality
2. Integrity
3. CPA
4. Restrictions on IV or Counter/Nonce
5. Maximum number of Block which can be encrypted without compromising the security
6. Speed
7. Parallelism while encrypting and Decrypting

This is a very broad question and a complete answer would probably fill an entire chapter in a book. You're asking for comparison of $6$ modes of operation in $7$ different areas - and each one of those comparisons could be stated as an individual question - actually it often is. Therefore I'll just link to some similar questions on this site, which should provide plenty of information:


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# Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5 - CBSE Class 10 - Mathematics

ConceptRelationship Between Zeroes and Coefficients of a Polynomial

#### Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively

0, sqrt5

#### Solution

0, sqrt5

Let the polynomial be ax2 + bx + c, and its zeroes be α and ß

Given α + ß = 0 = –b/a

αß = sqrt5  = c/a

If a = 1, b = 0, c = sqrt5

Therefore, the quadratic polynomial is x2 + sqrt5

.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 2: Polynomials
Ex. 2.20 | Q: 2.3 | Page no. 33

#### Video TutorialsVIEW ALL [2]

Solution Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively 0, √5 Concept: Relationship Between Zeroes and Coefficients of a Polynomial.
S

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The entropy energy and structure balance ...

CAS,Research Group of Meta-Synthesis and Knowledge Science


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# 萩原 朋道

システム制御情報学会 The Institute of Systems, Control and Information Engineers

The Institute of Electrical and Electronic Engineers USA

1986/07/16〜1991/03/31 京都大学 Kyoto University 助手 Instructor (Research Associate)
1991/04/01〜2001/03/31 京都大学 Kyoto University 助教授 Associate Professor
2001/04/01〜____/__/__ 京都大学 Kyoto University 教授 Professor

researchmap URL

(日本語)

(英語)
Control Theory and Its Applications

(日本語)
フィードバック制御系の設計・解析のための理論と実システムへの応用
(英語)
Theory of Design and Analysis of Feedback Control Systems and Its Applications to Real Systems

キーワード(日本語) キーワード(英語)

Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Equivalent Stability Notions, Lyapunov Inequality, and Its Application in Discrete-Time Linear Systems With Stochastic Dynamics Determined by an i.i.d.Process Equivalent Stability Notions, Lyapunov Inequality, and Its Application in Discrete-Time Linear Systems With Stochastic Dynamics Determined by an i.i.d.Process Equivalent Stability Notions, Lyapunov Inequality, and Its Application in Discrete-Time Linear Systems With Stochastic Dynamics Determined by an i.i.d.Process IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 64, 11, 4764-4771 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 64, 11, 4764-4771 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 64, 11, 4764-4771 2019/11 英語 研究論文(学術雑誌)

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Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling Robust stability analysis with cycling-based LPTV scaling: part I. Fundamental results on its relationship with lifting-based LPTV scaling INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1345-1357 INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1345-1357 INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1345-1357 2017 英語 研究論文(学術雑誌)
Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Mitsuaki Miyamoto, Yohei Hosoe, Tomomichi Hagiwara Robust stability analysis with cycling-based LPTV scaling. Part II: its properties under the use of FIR separators Robust stability analysis with cycling-based LPTV scaling. Part II: its properties under the use of FIR separators Robust stability analysis with cycling-based LPTV scaling. Part II: its properties under the use of FIR separators INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1358-1370 INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1358-1370 INTERNATIONAL JOURNAL OF CONTROL, 90, 7, 1358-1370 2017 英語 研究論文(学術雑誌)
Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Modified State Predictive Control of Continuous-Time Systems with Input Delay Modified State Predictive Control of Continuous-Time Systems with Input Delay Modified State Predictive Control of Continuous-Time Systems with Input Delay 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 843-847 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 843-847 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT), 843-847 2017 英語 研究論文(国際会議プロシーディングス)
Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Extensive theoretical/numerical comparative studies on H-2 and generalised H-2 norms in sampled-data systems Extensive theoretical/numerical comparative studies on H-2 and generalised H-2 norms in sampled-data systems Extensive theoretical/numerical comparative studies on H-2 and generalised H-2 norms in sampled-data systems INTERNATIONAL JOURNAL OF CONTROL, 90, 11, 2538-2553 INTERNATIONAL JOURNAL OF CONTROL, 90, 11, 2538-2553 INTERNATIONAL JOURNAL OF CONTROL, 90, 11, 2538-2553 2017 英語 研究論文(学術雑誌)
Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Yoichiro Masui, Kentaro Hirata, Tomomichi Hagiwara Modified State Predictive Control of Continuous-Time Systems with Input Delay Modified State Predictive Control of Continuous-Time Systems with Input Delay Modified State Predictive Control of Continuous-Time Systems with Input Delay 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT) 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT) 2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY (ICIT) 2017 英語
Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara L-1 Discretization for Sampled-Data Controller Synthesis via Piecewise Linear Approximation L-1 Discretization for Sampled-Data Controller Synthesis via Piecewise Linear Approximation L-1 Discretization for Sampled-Data Controller Synthesis via Piecewise Linear Approximation IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61, 5, 1143-1157 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61, 5, 1143-1157 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 61, 5, 1143-1157 2016/05 英語 研究論文(学術雑誌)

Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Further results on the L-1 analysis of sampled-data systems via kernel approximation approach Further results on the L-1 analysis of sampled-data systems via kernel approximation approach Further results on the L-1 analysis of sampled-data systems via kernel approximation approach INTERNATIONAL JOURNAL OF CONTROL, 89, 8, 1684-1697 INTERNATIONAL JOURNAL OF CONTROL, 89, 8, 1684-1697 INTERNATIONAL JOURNAL OF CONTROL, 89, 8, 1684-1697 2016 英語 研究論文(学術雑誌)
Jung Hoon Kim, Tomomichi Hagiwara, Kentaro Hirata Jung Hoon Kim, Tomomichi Hagiwara, Kentaro Hirata Jung Hoon Kim, Tomomichi Hagiwara, Kentaro Hirata Spectrum of Monodromy Operator for a Time-Delay System With Application to Stability Analysis Spectrum of Monodromy Operator for a Time-Delay System With Application to Stability Analysis Spectrum of Monodromy Operator for a Time-Delay System With Application to Stability Analysis IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 60, 12, 3385-3390 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 60, 12, 3385-3390 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 60, 12, 3385-3390 2015/12 英語 研究論文(学術雑誌)

Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Computing the L-infinity-induced norm of linear time-invariant systems via Kernel approximation and its comparison with input approximation Computing the L-infinity-induced norm of linear time-invariant systems via Kernel approximation and its comparison with input approximation Computing the L-infinity-induced norm of linear time-invariant systems via Kernel approximation and its comparison with input approximation IET CONTROL THEORY AND APPLICATIONS, 9, 5, 700-709 IET CONTROL THEORY AND APPLICATIONS, 9, 5, 700-709 IET CONTROL THEORY AND APPLICATIONS, 9, 5, 700-709 2015/03 英語 研究論文(学術雑誌)
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Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Computing the L-infinity[0, h)-induced norm of a compression operator via fast-lifting Computing the L-infinity[0, h)-induced norm of a compression operator via fast-lifting Computing the L-infinity[0, h)-induced norm of a compression operator via fast-lifting SYSTEMS & CONTROL LETTERS, 67, 1-8 SYSTEMS & CONTROL LETTERS, 67, 1-8 SYSTEMS & CONTROL LETTERS, 67, 1-8 2014/05 英語 研究論文(学術雑誌)
Tatsuya Yamazaki, Tomomichi Hagiwara Tatsuya Yamazaki, Tomomichi Hagiwara Tatsuya Yamazaki, Tomomichi Hagiwara Conversion of linear time-invariant time-delay feedback systems into delay-differential equations with commensurate delays Conversion of linear time-invariant time-delay feedback systems into delay-differential equations with commensurate delays Conversion of linear time-invariant time-delay feedback systems into delay-differential equations with commensurate delays INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 45, 8, 1643-1656 INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 45, 8, 1643-1656 INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 45, 8, 1643-1656 2014 英語 研究論文(学術雑誌)

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Kentaro Hirata, Tomomichi Hagiwara, Itokazu Atsushi Kentaro Hirata, Tomomichi Hagiwara, Itokazu Atsushi Kentaro Hirata, Tomomichi Hagiwara, Itokazu Atsushi Numerical Methods for Spectrum Computation of Monodromy Operators via Non-Causal Hold Discretization Numerical Methods for Spectrum Computation of Monodromy Operators via Non-Causal Hold Discretization Numerical Methods for Spectrum Computation of Monodromy Operators via Non-Causal Hold Discretization SICE Journal of Control, Measurement, and System Integration, 6, 1, 45-53 SICE Journal of Control, Measurement, and System Integration, 6, 1, 45-53 SICE Journal of Control, Measurement, and System Integration, 6, 1, 45-53 2013 英語 研究論文(学術雑誌)
Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Robust Performance Controller Synthesis Based on Discrete-Time Noncausal Linear Periodically Time-Varying Scaling Robust Performance Controller Synthesis Based on Discrete-Time Noncausal Linear Periodically Time-Varying Scaling Robust Performance Controller Synthesis Based on Discrete-Time Noncausal Linear Periodically Time-Varying Scaling ASIAN JOURNAL OF CONTROL, 14, 5, 1194-1204 ASIAN JOURNAL OF CONTROL, 14, 5, 1194-1204 ASIAN JOURNAL OF CONTROL, 14, 5, 1194-1204 2012/09 英語 研究論文(学術雑誌)
Tomomichi Hagiwara Tomomichi Hagiwara Tomomichi Hagiwara Note on Well-Posedness and Separator-Type Robust Stability Theorem of LTI Systems Note on Well-Posedness and Separator-Type Robust Stability Theorem of LTI Systems Note on Well-Posedness and Separator-Type Robust Stability Theorem of LTI Systems SICE Journal on Control, Measurement, and System Integration, 5, 3, 169-174 SICE Journal on Control, Measurement, and System Integration, 5, 3, 169-174 SICE Journal on Control, Measurement, and System Integration, 5, 3, 169-174 2012 英語 研究論文(学術雑誌)
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Yoshio Ebihara, Jun Yamaguchi, Tomomichi Hagiwara Yoshio Ebihara, Jun Yamaguchi, Tomomichi Hagiwara Yoshio Ebihara, Jun Yamaguchi, Tomomichi Hagiwara Periodically time-varying controller synthesis for multiobjective H-2/H-infinity control of discrete-time systems and analysis of achievable performance Periodically time-varying controller synthesis for multiobjective H-2/H-infinity control of discrete-time systems and analysis of achievable performance Periodically time-varying controller synthesis for multiobjective H-2/H-infinity control of discrete-time systems and analysis of achievable performance SYSTEMS & CONTROL LETTERS, 60, 9, 709-717 SYSTEMS & CONTROL LETTERS, 60, 9, 709-717 SYSTEMS & CONTROL LETTERS, 60, 9, 709-717 2011/09 英語 研究論文(学術雑誌)
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Tomomichi Hagiwara, Yasuhiro Ohara Tomomichi Hagiwara, Yasuhiro Ohara Tomomichi Hagiwara, Yasuhiro Ohara Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: Frequency-dependent scaling induced by static separators Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: Frequency-dependent scaling induced by static separators Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: Frequency-dependent scaling induced by static separators AUTOMATICA, 46, 1, 167-173 AUTOMATICA, 46, 1, 167-173 AUTOMATICA, 46, 1, 167-173 2010/01 英語 研究論文(学術雑誌)
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Tomomichi Hagiwara Tomomichi Hagiwara Tomomichi Hagiwara Separator-type robust stability theorem of sampled-data systems allowing noncausal LPTV scaling Separator-type robust stability theorem of sampled-data systems allowing noncausal LPTV scaling Separator-type robust stability theorem of sampled-data systems allowing noncausal LPTV scaling AUTOMATICA, 45, 8, 1868-1872 AUTOMATICA, 45, 8, 1868-1872 AUTOMATICA, 45, 8, 1868-1872 2009/08 英語 研究論文(学術雑誌)
Yoshio Ebihara, Yusuke Onishi, Tomomichi Hagiwara Yoshio Ebihara, Yusuke Onishi, Tomomichi Hagiwara Yoshio Ebihara, Yusuke Onishi, Tomomichi Hagiwara Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness Robust Performance Analysis of Uncertain LTI Systems: Dual LMI Approach and Verifications for Exactness IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 54, 5, 938-951 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 54, 5, 938-951 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 54, 5, 938-951 2009/05 英語 研究論文(学術雑誌)
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Tomomichi Hagiwara, Ryouta Mori Tomomichi Hagiwara, Ryouta Mori Tomomichi Hagiwara, Ryouta Mori Linear periodically time-varying scaling and its properties Linear periodically time-varying scaling and its properties Linear periodically time-varying scaling and its properties SYSTEMS & CONTROL LETTERS, 57, 10, 816-821 SYSTEMS & CONTROL LETTERS, 57, 10, 816-821 SYSTEMS & CONTROL LETTERS, 57, 10, 816-821 2008/10 英語 研究論文(学術雑誌)
Tomomichi Hagiwara, Hiroaki Umeda Tomomichi Hagiwara, Hiroaki Umeda Tomomichi Hagiwara, Hiroaki Umeda Modified Fast-sample/Fast-hold Approximation for Sampled-data System Analysis Modified Fast-sample/Fast-hold Approximation for Sampled-data System Analysis Modified Fast-sample/Fast-hold Approximation for Sampled-data System Analysis EUROPEAN JOURNAL OF CONTROL, 14, 4, 286-296 EUROPEAN JOURNAL OF CONTROL, 14, 4, 286-296 EUROPEAN JOURNAL OF CONTROL, 14, 4, 286-296 2008/07 英語 研究論文(学術雑誌)
Yoshio Ebihara, Yoshito Hirai, Tomomichi Hagiwara Yoshio Ebihara, Yoshito Hirai, Tomomichi Hagiwara Yoshio Ebihara, Yoshito Hirai, Tomomichi Hagiwara On H infinity model reduction for discrete-time linear time-invariant systems using linear matrix inequalities On H infinity model reduction for discrete-time linear time-invariant systems using linear matrix inequalities On H infinity model reduction for discrete-time linear time-invariant systems using linear matrix inequalities ASIAN JOURNAL OF CONTROL, 10, 3, 291-300 ASIAN JOURNAL OF CONTROL, 10, 3, 291-300 ASIAN JOURNAL OF CONTROL, 10, 3, 291-300 2008/05 英語 研究論文(学術雑誌)
Yoshio Ebihara, Katsutoshi Maeda, Tomomichi Hagiwara Yoshio Ebihara, Katsutoshi Maeda, Tomomichi Hagiwara Yoshio Ebihara, Katsutoshi Maeda, Tomomichi Hagiwara Generalized S-procedure for inequality conditions on one-vector-lossless sets and linear system analysis Generalized S-procedure for inequality conditions on one-vector-lossless sets and linear system analysis Generalized S-procedure for inequality conditions on one-vector-lossless sets and linear system analysis SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 47, 3, 1547-1555 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 47, 3, 1547-1555 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 47, 3, 1547-1555 2008 英語 研究論文(学術雑誌)
T. Hagiwara, K. Horiguchi T. Hagiwara, K. Horiguchi T. Hagiwara, K. Horiguchi An iterative method with guaranteed convergence for robust performance analysis of sampled-data systems against parameter uncertainties An iterative method with guaranteed convergence for robust performance analysis of sampled-data systems against parameter uncertainties An iterative method with guaranteed convergence for robust performance analysis of sampled-data systems against parameter uncertainties INTERNATIONAL JOURNAL OF CONTROL, 80, 9, 1471-1480 INTERNATIONAL JOURNAL OF CONTROL, 80, 9, 1471-1480 INTERNATIONAL JOURNAL OF CONTROL, 80, 9, 1471-1480 2007 英語 研究論文(学術雑誌)
Tomomichi Hagiwara, Kazuhiro Horiguchi Tomomichi Hagiwara, Kazuhiro Horiguchi Tomomichi Hagiwara, Kazuhiro Horiguchi An Iterative Method with Guaranteed Convergence for Robust Performance Analysis of Sampled-Data Systems against Parameter Uncertainties An Iterative Method with Guaranteed Convergence for Robust Performance Analysis of Sampled-Data Systems against Parameter Uncertainties An Iterative Method with Guaranteed Convergence for Robust Performance Analysis of Sampled-Data Systems against Parameter Uncertainties International Journal of Control, 80, 9, 1417-1480 International Journal of Control, 80, 9, 1417-1480 International Journal of Control, 80, 9, 1417-1480 2007 英語 研究論文(学術雑誌)
Yoshio Ebihara, Tomomichi Hagiwara Yoshio Ebihara, Tomomichi Hagiwara Yoshio Ebihara, Tomomichi Hagiwara On the degree of polynomial parameter-dependent Lyapunov functions for robust stability of single parameter-dependent LTI systems: A counter-example to Barmish's conjecture On the degree of polynomial parameter-dependent Lyapunov functions for robust stability of single parameter-dependent LTI systems: A counter-example to Barmish's conjecture On the degree of polynomial parameter-dependent Lyapunov functions for robust stability of single parameter-dependent LTI systems: A counter-example to Barmish's conjecture AUTOMATICA, 42, 9, 1599-1603 AUTOMATICA, 42, 9, 1599-1603 AUTOMATICA, 42, 9, 1599-1603 2006/09 英語 研究論文(学術雑誌)
Yoshio Ebihara, Yoshimichi Ito, Tomomichi Hagiwara Yoshio Ebihara, Yoshimichi Ito, Tomomichi Hagiwara Yoshio Ebihara, Yoshimichi Ito, Tomomichi Hagiwara Exact stability analysis of 2-D systems using LMIs Exact stability analysis of 2-D systems using LMIs Exact stability analysis of 2-D systems using LMIs IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 51, 9, 1509-1513 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 51, 9, 1509-1513 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 51, 9, 1509-1513 2006/09 英語 研究論文(学術雑誌)

Tomomichi Hagiwara Tomomichi Hagiwara Tomomichi Hagiwara Discussion on: "Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations" Discussion on: "Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations" Discussion on: "Transfer functions and statistical analysis of FDLCP systems described by higher-order differential equations" European Journal of Control, 12, 5, 574-575 European Journal of Control, 12, 5, 574-575 European Journal of Control, 12, 5, 574-575 2006 英語 研究論文(学術雑誌)

Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems AUTOMATICA, 41, 11, 1933-1941 AUTOMATICA, 41, 11, 1933-1941 AUTOMATICA, 41, 11, 1933-1941 2005/11 英語 研究論文(学術雑誌)
T Hagiwara T Hagiwara T Hagiwara Inertia approach to the Hamiltonian eigenvalue tests for frequency-domain inequality conditions Inertia approach to the Hamiltonian eigenvalue tests for frequency-domain inequality conditions Inertia approach to the Hamiltonian eigenvalue tests for frequency-domain inequality conditions DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 1, 279-283 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 1, 279-283 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 1, 279-283 2005 英語 研究論文(学術雑誌)
T Hagiwara T Hagiwara T Hagiwara A study on the spectrum of the sampled-data transfer operator with application to robust exponential stability problems A study on the spectrum of the sampled-data transfer operator with application to robust exponential stability problems A study on the spectrum of the sampled-data transfer operator with application to robust exponential stability problems SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 1, 313-327 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 1, 313-327 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 1, 313-327 2005 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara 2-regularized Nyquist criterion in linear continuous-time periodic systems and its implementation 2-regularized Nyquist criterion in linear continuous-time periodic systems and its implementation 2-regularized Nyquist criterion in linear continuous-time periodic systems and its implementation SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 2, 618-645 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 2, 618-645 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 44, 2, 618-645 2005 英語 研究論文(学術雑誌)
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara New dilated LMI characterizations for continuous-time multiobjective controller synthesis New dilated LMI characterizations for continuous-time multiobjective controller synthesis New dilated LMI characterizations for continuous-time multiobjective controller synthesis AUTOMATICA, 40, 11, 2003-2009 AUTOMATICA, 40, 11, 2003-2009 AUTOMATICA, 40, 11, 2003-2009 2004/11 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems Spectral characteristics and eigenvalues computation of the harmonic state operators in continuous-time periodic systems SYSTEMS & CONTROL LETTERS, 53, 2, 141-155 SYSTEMS & CONTROL LETTERS, 53, 2, 141-155 SYSTEMS & CONTROL LETTERS, 53, 2, 141-155 2004/10 英語 研究論文(学術雑誌)
Y Ebihara, K Tokuyama, T Hagiwara Y Ebihara, K Tokuyama, T Hagiwara Y Ebihara, K Tokuyama, T Hagiwara Structured controller synthesis using LMI and alternating projection method Structured controller synthesis using LMI and alternating projection method Structured controller synthesis using LMI and alternating projection method INTERNATIONAL JOURNAL OF CONTROL, 77, 12, 1137-1147 INTERNATIONAL JOURNAL OF CONTROL, 77, 12, 1137-1147 INTERNATIONAL JOURNAL OF CONTROL, 77, 12, 1137-1147 2004/08 英語 研究論文(学術雑誌)
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara On H(infinity) model reduction using LMIs On H(infinity) model reduction using LMIs On H(infinity) model reduction using LMIs IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 49, 7, 1187-1191 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 49, 7, 1187-1191 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 49, 7, 1187-1191 2004/07 英語 研究論文(学術雑誌)
T Hagiwara, T Mugiuda T Hagiwara, T Mugiuda T Hagiwara, T Mugiuda Positive-realness analysis of sampled-data systems and its applications Positive-realness analysis of sampled-data systems and its applications Positive-realness analysis of sampled-data systems and its applications AUTOMATICA, 40, 6, 1043-1051 AUTOMATICA, 40, 6, 1043-1051 AUTOMATICA, 40, 6, 1043-1051 2004/06 英語 研究論文(学術雑誌)

Yoshio Ebihara, Hagiwara Tomomichi Yoshio Ebihara, Hagiwara Tomomichi Yoshio Ebihara, Hagiwara Tomomichi A Dilated LMI Approach to Continuous-Time Gain-Scheduled Controller Synthesis with Parameter-Dependent Lyapunov Variables A Dilated LMI Approach to Continuous-Time Gain-Scheduled Controller Synthesis with Parameter-Dependent Lyapunov Variables A Dilated LMI Approach to Continuous-Time Gain-Scheduled Controller Synthesis with Parameter-Dependent Lyapunov Variables 計測自動制御学会論文集, 39, 8, 734-740 計測自動制御学会論文集, 39, 8, 734-740 計測自動制御学会論文集, 39, 8, 734-740 2003/08 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation INTERNATIONAL JOURNAL OF CONTROL, 76, 5, 488-500 INTERNATIONAL JOURNAL OF CONTROL, 76, 5, 488-500 INTERNATIONAL JOURNAL OF CONTROL, 76, 5, 488-500 2003 英語 研究論文(学術雑誌)
E Furutani, T Hagiwara, M Araki E Furutani, T Hagiwara, M Araki E Furutani, T Hagiwara, M Araki Two-degree-of-freedom design method of state-predictive LQI servo systems Two-degree-of-freedom design method of state-predictive LQI servo systems Two-degree-of-freedom design method of state-predictive LQI servo systems IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 2002/09 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara H-2 and H-infinity norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators H-2 and H-infinity norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators H-2 and H-infinity norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators AUTOMATICA, 38, 8, 1381-1387 AUTOMATICA, 38, 8, 1381-1387 AUTOMATICA, 38, 8, 1381-1387 2002/08 英語 研究論文(学術雑誌)
S Tanaka, T Hagiwara, M Araki S Tanaka, T Hagiwara, M Araki S Tanaka, T Hagiwara, M Araki A study on the optimal cost for the H(infinity) problem of discrete linear periodically time-varying systems A study on the optimal cost for the H(infinity) problem of discrete linear periodically time-varying systems A study on the optimal cost for the H(infinity) problem of discrete linear periodically time-varying systems SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 2, 362-379 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 2, 362-379 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 2, 362-379 2002/07 英語 研究論文(学術雑誌)
T Hagiwara T Hagiwara T Hagiwara Nyquist stability criterion and positive-realness of sampled-data systems Nyquist stability criterion and positive-realness of sampled-data systems Nyquist stability criterion and positive-realness of sampled-data systems SYSTEMS & CONTROL LETTERS, 45, 4, 283-291 SYSTEMS & CONTROL LETTERS, 45, 4, 283-291 SYSTEMS & CONTROL LETTERS, 45, 4, 283-291 2002/04 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara Existence conditions and properties of the frequency response operators of continuous-time periodic systems Existence conditions and properties of the frequency response operators of continuous-time periodic systems Existence conditions and properties of the frequency response operators of continuous-time periodic systems SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40, 6, 1867-1887 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40, 6, 1867-1887 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 40, 6, 1867-1887 2002/03 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki Stability analysis of continuous-time periodic systems via the harmonic analysis Stability analysis of continuous-time periodic systems via the harmonic analysis Stability analysis of continuous-time periodic systems via the harmonic analysis IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 2, 292-298 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 2, 292-298 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 2, 292-298 2002/02 英語 研究論文(学術雑誌)
Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach (vol 46, pg 369, 2001) Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach (vol 46, pg 369, 2001) Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach (vol 46, pg 369, 2001) IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 1, 201-201 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 1, 201-201 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 47, 1, 201-201 2002/01 英語 研究論文(学術雑誌)
T Hagiwara T Hagiwara T Hagiwara Spectral analysis and singular value computations of the noncompact frequency response and compression operators in sampled-data systems Spectral analysis and singular value computations of the noncompact frequency response and compression operators in sampled-data systems Spectral analysis and singular value computations of the noncompact frequency response and compression operators in sampled-data systems SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 5, 1350-1371 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 5, 1350-1371 SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 41, 5, 1350-1371 2002 英語 研究論文(学術雑誌)
Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Time-sharing multirate sample-hold controllers and their application to reliable stabilization Time-sharing multirate sample-hold controllers and their application to reliable stabilization Time-sharing multirate sample-hold controllers and their application to reliable stabilization DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 8, 4, 445-463 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 8, 4, 445-463 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 8, 4, 445-463 2001/12 英語 研究論文(学術雑誌)
T Hagiwara, M Suyama, M Araki T Hagiwara, M Suyama, M Araki T Hagiwara, M Suyama, M Araki Upper and lower bounds of the frequency response gain of sampled-data systems Upper and lower bounds of the frequency response gain of sampled-data systems Upper and lower bounds of the frequency response gain of sampled-data systems AUTOMATICA, 37, 9, 1363-1370 AUTOMATICA, 37, 9, 1363-1370 AUTOMATICA, 37, 9, 1363-1370 2001/09 英語 研究論文(学術雑誌)
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara Computing frequency response gains of linear continuous-time periodic systems Computing frequency response gains of linear continuous-time periodic systems Computing frequency response gains of linear continuous-time periodic systems IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 2001/07 英語 研究論文(学術雑誌)
Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach Bisection algorithm for computing the frequency response gain of sampled-data systems - Infinite-dimensional congruent transformation approach IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 46, 3, 369-381 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 46, 3, 369-381 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 46, 3, 369-381 2001/03 英語 研究論文(学術雑誌)
Y Ebihara, T Hagiwara, M Araki Y Ebihara, T Hagiwara, M Araki Y Ebihara, T Hagiwara, M Araki Sequential tuning methods of LQ/LQI controllers for multivariable systems and their application to hot strip mills Sequential tuning methods of LQ/LQI controllers for multivariable systems and their application to hot strip mills Sequential tuning methods of LQ/LQI controllers for multivariable systems and their application to hot strip mills INTERNATIONAL JOURNAL OF CONTROL, 73, 15, 1392-1404 INTERNATIONAL JOURNAL OF CONTROL, 73, 15, 1392-1404 INTERNATIONAL JOURNAL OF CONTROL, 73, 15, 1392-1404 2000/10 英語 研究論文(学術雑誌)
Y Kakutani, T Hagiwara, M Araki Y Kakutani, T Hagiwara, M Araki Y Kakutani, T Hagiwara, M Araki LMI representation of the shifted Popov criterion LMI representation of the shifted Popov criterion LMI representation of the shifted Popov criterion AUTOMATICA, 36, 5, 765-770 AUTOMATICA, 36, 5, 765-770 AUTOMATICA, 36, 5, 765-770 2000/05 英語 研究論文(学術雑誌)

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J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara Computing the $L_\infty$ -Induced Norm of LTI Systems Computing the $L_\infty$ -Induced Norm of LTI Systems Computing the $L_\infty$ -Induced Norm of LTI Systems 53rd IEEE Conference on Decision and Control 53rd IEEE Conference on Decision and Control 53rd IEEE Conference on Decision and Control 2014
J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara Characterization of the Induced Norms from $L_2$ to $L_\infty$ and from $l_2$ to $l_\infty$ and Their Computations Characterization of the Induced Norms from $L_2$ to $L_\infty$ and from $l_2$ to $l_\infty$ and Their Computations Characterization of the Induced Norms from $L_2$ to $L_\infty$ and from $l_2$ to $l_\infty$ and Their Computations SICE Annual Conference 2014 SICE Annual Conference 2014 SICE Annual Conference 2014 2014
Y. Masui, K. Hirata, T. Hagiwara Y. Masui, K. Hirata, T. Hagiwara Y. Masui, K. Hirata, T. Hagiwara On Numerical Computation of the Spectrum of Monodromy Operators via Higher-Order Hold Discretization On Numerical Computation of the Spectrum of Monodromy Operators via Higher-Order Hold Discretization On Numerical Computation of the Spectrum of Monodromy Operators via Higher-Order Hold Discretization 21st International Symposium on Mathematical Theory of Networks and Systems 21st International Symposium on Mathematical Theory of Networks and Systems 21st International Symposium on Mathematical Theory of Networks and Systems 2014
J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara J. H. Kim, T. Hagiwara A Study on Piecewise Linear Approximation in the $L_1$ Optimal Control Problem of Sampled-Data Systems A Study on Piecewise Linear Approximation in the $L_1$ Optimal Control Problem of Sampled-Data Systems A Study on Piecewise Linear Approximation in the $L_1$ Optimal Control Problem of Sampled-Data Systems 21st International Symposium on Mathematical Theory of Networks and Systems 21st International Symposium on Mathematical Theory of Networks and Systems 21st International Symposium on Mathematical Theory of Networks and Systems 2014
Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara State Feedback Synthesis for Robust Stabilization of Discrete-Time Linear Systems Characterized by Stochastic Polytopes State Feedback Synthesis for Robust Stabilization of Discrete-Time Linear Systems Characterized by Stochastic Polytopes State Feedback Synthesis for Robust Stabilization of Discrete-Time Linear Systems Characterized by Stochastic Polytopes 2014 European Control Conference 2014 European Control Conference 2014 European Control Conference 2014
Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Robust Stability Analysis of Discrete-Time Linear Systems Characterized by Stochastic Polytopes Robust Stability Analysis of Discrete-Time Linear Systems Characterized by Stochastic Polytopes Robust Stability Analysis of Discrete-Time Linear Systems Characterized by Stochastic Polytopes 2014 American Control Conference 2014 American Control Conference 2014 American Control Conference 2014
Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Jung Hoon Kim, Tomomichi Hagiwara Computing the L-infinity[0, h)-induced norm of a compression operator Computing the L-infinity[0, h)-induced norm of a compression operator Computing the L-infinity[0, h)-induced norm of a compression operator 2013 EUROPEAN CONTROL CONFERENCE (ECC), 3688-3693 2013 EUROPEAN CONTROL CONFERENCE (ECC), 3688-3693 2013 EUROPEAN CONTROL CONFERENCE (ECC), 3688-3693 2013 英語
Yuki Saito, Tomomichi Hagiwara Yuki Saito, Tomomichi Hagiwara Yuki Saito, Tomomichi Hagiwara Stability Analysis of Time-Delay Systems Based on a Power of the Monodromy Operator Stability Analysis of Time-Delay Systems Based on a Power of the Monodromy Operator Stability Analysis of Time-Delay Systems Based on a Power of the Monodromy Operator 2013 EUROPEAN CONTROL CONFERENCE (ECC), 4424-4429 2013 EUROPEAN CONTROL CONFERENCE (ECC), 4424-4429 2013 EUROPEAN CONTROL CONFERENCE (ECC), 4424-4429 2013 英語
R. Yamamoto, Y. Hosoe, T. Hagiwara R. Yamamoto, Y. Hosoe, T. Hagiwara R. Yamamoto, Y. Hosoe, T. Hagiwara Introducing integral compensation into controller synthesis based on noncausal LPTV Scaling and control experiments with cart inverted pendulum Introducing integral compensation into controller synthesis based on noncausal LPTV Scaling and control experiments with cart inverted pendulum Introducing integral compensation into controller synthesis based on noncausal LPTV Scaling and control experiments with cart inverted pendulum Proceedings of the SICE Annual Conference, 446-451 Proceedings of the SICE Annual Conference, 446-451 Proceedings of the SICE Annual Conference, 446-451 2013 英語
Kei Katayama, Yohei Hosoe, Tomomichi Hagiwara Kei Katayama, Yohei Hosoe, Tomomichi Hagiwara Kei Katayama, Yohei Hosoe, Tomomichi Hagiwara Demonstrating the effectiveness of noncausal lptv scaling through control experiments with cart inverted pendulum Demonstrating the effectiveness of noncausal lptv scaling through control experiments with cart inverted pendulum Demonstrating the effectiveness of noncausal lptv scaling through control experiments with cart inverted pendulum IFAC Proceedings Volumes (IFAC-PapersOnline), 5, 1, 143-148 IFAC Proceedings Volumes (IFAC-PapersOnline), 5, 1, 143-148 IFAC Proceedings Volumes (IFAC-PapersOnline), 5, 1, 143-148 2013 英語
T. Yamazaki, T. Hagiwara T. Yamazaki, T. Hagiwara T. Yamazaki, T. Hagiwara A note on representation of nonlinear time-varying delay-differential equations as time-delay feedback systems A note on representation of nonlinear time-varying delay-differential equations as time-delay feedback systems A note on representation of nonlinear time-varying delay-differential equations as time-delay feedback systems 2013 9th Asian Control Conference, ASCC 2013 2013 9th Asian Control Conference, ASCC 2013 2013 9th Asian Control Conference, ASCC 2013 2013 英語
J.H. Kim, T. Hagiwara, K. Hirata J.H. Kim, T. Hagiwara, K. Hirata J.H. Kim, T. Hagiwara, K. Hirata A study on the spectrum of monodromy operator for a time-delay system A study on the spectrum of monodromy operator for a time-delay system A study on the spectrum of monodromy operator for a time-delay system 2013 9th Asian Control Conference, ASCC 2013 2013 9th Asian Control Conference, ASCC 2013 2013 9th Asian Control Conference, ASCC 2013 2013 英語
Kim, Jung Hoon, Hagiwara, Tomomichi Kim, Jung Hoon, Hagiwara, Tomomichi Kim, Jung Hoon, Hagiwara, Tomomichi Quasi-Finite-Rank Approximation of Compression Operators Based on L-infinity[0, h]-Induced Norm Quasi-Finite-Rank Approximation of Compression Operators Based on L-infinity[0, h]-Induced Norm Quasi-Finite-Rank Approximation of Compression Operators Based on L-infinity[0, h]-Induced Norm 2012 PROCEEDINGS OF SICE ANNUAL CONFERENCE (SICE),, pp. 2238-2243 2012 PROCEEDINGS OF SICE ANNUAL CONFERENCE (SICE),, pp. 2238-2243 2012 PROCEEDINGS OF SICE ANNUAL CONFERENCE (SICE),, pp. 2238-2243 2012 英語
Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Robust Stability Analysis Based on Noncausal LPTV FIR Scaling: Explicit Procedure and Relationship with Causal LTI FIR Scaling Robust Stability Analysis Based on Noncausal LPTV FIR Scaling: Explicit Procedure and Relationship with Causal LTI FIR Scaling Robust Stability Analysis Based on Noncausal LPTV FIR Scaling: Explicit Procedure and Relationship with Causal LTI FIR Scaling 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 240-247 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 240-247 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 240-247 2012 英語
Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Robust stability analysis based on discrete-time FIR scaling Robust stability analysis based on discrete-time FIR scaling Robust stability analysis based on discrete-time FIR scaling Proceedings of the American Control Conference, 5972-5979 Proceedings of the American Control Conference, 5972-5979 Proceedings of the American Control Conference, 5972-5979 2012 英語
T. Hagiwara T. Hagiwara T. Hagiwara A note on separator-type robust stability theorem and well-posedness of linear time-invariant systems A note on separator-type robust stability theorem and well-posedness of linear time-invariant systems A note on separator-type robust stability theorem and well-posedness of linear time-invariant systems Proceedings of the 2011 Australian Control Conference, AUCC 2011, 242-247 Proceedings of the 2011 Australian Control Conference, AUCC 2011, 242-247 Proceedings of the 2011 Australian Control Conference, AUCC 2011, 242-247 2011 英語
Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Robust stability analysis with cycling-based LPTV scaling and its relationship with lifting-based approach Robust stability analysis with cycling-based LPTV scaling and its relationship with lifting-based approach Robust stability analysis with cycling-based LPTV scaling and its relationship with lifting-based approach Proceedings of the SICE Annual Conference, 1782-1790 Proceedings of the SICE Annual Conference, 1782-1790 Proceedings of the SICE Annual Conference, 1782-1790 2011 英語
T. Yamazaki, T. Hagiwara T. Yamazaki, T. Hagiwara T. Yamazaki, T. Hagiwara A note on mutual conversion between linear time-invariant delay-differential equations and time-delay feedback systems A note on mutual conversion between linear time-invariant delay-differential equations and time-delay feedback systems A note on mutual conversion between linear time-invariant delay-differential equations and time-delay feedback systems Proceedings of the SICE Annual Conference, 267-276 Proceedings of the SICE Annual Conference, 267-276 Proceedings of the SICE Annual Conference, 267-276 2011 英語
Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Relationship between noncausal linear periodically time-varying scaling and causal linear time-invariant scaling for discrete-time systems Relationship between noncausal linear periodically time-varying scaling and causal linear time-invariant scaling for discrete-time systems Relationship between noncausal linear periodically time-varying scaling and causal linear time-invariant scaling for discrete-time systems IFAC Proceedings Volumes (IFAC-PapersOnline), 18, 1, 3384-3391 IFAC Proceedings Volumes (IFAC-PapersOnline), 18, 1, 3384-3391 IFAC Proceedings Volumes (IFAC-PapersOnline), 18, 1, 3384-3391 2011 英語
Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Yohei Hosoe, Tomomichi Hagiwara Infinite Matrix Representations of Robust Stability Conditions for Discrete-Time Systems Infinite Matrix Representations of Robust Stability Conditions for Discrete-Time Systems Infinite Matrix Representations of Robust Stability Conditions for Discrete-Time Systems 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 1359-1366 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 1359-1366 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 1359-1366 2011 英語

T. Hagiwara, T. Fujinami T. Hagiwara, T. Fujinami T. Hagiwara, T. Fujinami Fast-lifting approach to the computation of the spectral radius of neutral time-delay systems Fast-lifting approach to the computation of the spectral radius of neutral time-delay systems Fast-lifting approach to the computation of the spectral radius of neutral time-delay systems IFAC Proceedings Volumes (IFAC-PapersOnline), PART 1, 63-68 IFAC Proceedings Volumes (IFAC-PapersOnline), PART 1, 63-68 IFAC Proceedings Volumes (IFAC-PapersOnline), PART 1, 63-68 2010 英語
Yoshio Ebihara, Yoshinori Fujiwara, Tomomichi Hagiwara, Masayuki Sato Yoshio Ebihara, Yoshinori Fujiwara, Tomomichi Hagiwara, Masayuki Sato Yoshio Ebihara, Yoshinori Fujiwara, Tomomichi Hagiwara, Masayuki Sato 2DOF control system design for maneuverability matching and gust disturbance rejection in in-flight simulator MuPAL-α 2DOF control system design for maneuverability matching and gust disturbance rejection in in-flight simulator MuPAL-α 2DOF control system design for maneuverability matching and gust disturbance rejection in in-flight simulator MuPAL-α Proceedings of the SICE Annual Conference, 524-528 Proceedings of the SICE Annual Conference, 524-528 Proceedings of the SICE Annual Conference, 524-528 2010 英語
Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Y. Hosoe, T. Hagiwara Effects induced by noncausality of scaling on robust stability analysis of discrete-time periodically time-varying systems Effects induced by noncausality of scaling on robust stability analysis of discrete-time periodically time-varying systems Effects induced by noncausality of scaling on robust stability analysis of discrete-time periodically time-varying systems Proceedings of the SICE Annual Conference, 3017-3023 Proceedings of the SICE Annual Conference, 3017-3023 Proceedings of the SICE Annual Conference, 3017-3023 2010 英語
Yoshio Ebihara, Yusuke Matsuda, Tomomichi Hagiwara Yoshio Ebihara, Yusuke Matsuda, Tomomichi Hagiwara Yoshio Ebihara, Yusuke Matsuda, Tomomichi Hagiwara Asymptotic Exactness of Dual LMI Approach for Robust Performance Analysis of Uncertain LTI Systems Asymptotic Exactness of Dual LMI Approach for Robust Performance Analysis of Uncertain LTI Systems Asymptotic Exactness of Dual LMI Approach for Robust Performance Analysis of Uncertain LTI Systems 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 1472-1477 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 1472-1477 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 1472-1477 2010 英語
K. Hirata, A. Itokazu, T. Hagiwara K. Hirata, A. Itokazu, T. Hagiwara K. Hirata, A. Itokazu, T. Hagiwara On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization On numerical computation of the spectrum of a class of integral operators via non-causal hold discretization IFAC Proceedings Volumes (IFAC-PapersOnline), 8, PART 1, 382-389 IFAC Proceedings Volumes (IFAC-PapersOnline), 8, PART 1, 382-389 IFAC Proceedings Volumes (IFAC-PapersOnline), 8, PART 1, 382-389 2009 英語
K. Morioka, T. Hagiwara K. Morioka, T. Hagiwara K. Morioka, T. Hagiwara Stability analysis of nonlinear sampled-data systems via causal linear periodically time-varying scaling Stability analysis of nonlinear sampled-data systems via causal linear periodically time-varying scaling Stability analysis of nonlinear sampled-data systems via causal linear periodically time-varying scaling ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 2458-2463 ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 2458-2463 ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 2458-2463 2009 英語
T. Inui, T. Hagiwara T. Inui, T. Hagiwara T. Inui, T. Hagiwara A study on quadratic stability of optimal regulators under gain adjustment A study on quadratic stability of optimal regulators under gain adjustment A study on quadratic stability of optimal regulators under gain adjustment ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 1504-1509 ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 1504-1509 ICCAS-SICE 2009 - ICROS-SICE International Joint Conference 2009, Proceedings, 1504-1509 2009 英語
Yoshio Ebihara, Yuki Kuboyama, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier Yoshio Ebihara, Yuki Kuboyama, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier Yoshio Ebihara, Yuki Kuboyama, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier Further Results on Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems Further Results on Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems Further Results on Periodically Time-Varying Memory State-Feedback Controller Synthesis for Discrete-Time Linear Systems PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 702-707 PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 702-707 PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 702-707 2009 英語
Yusuke Matsuda, Yoshio Ebihara, Tomomichi Hagiwara Yusuke Matsuda, Yoshio Ebihara, Tomomichi Hagiwara Yusuke Matsuda, Yoshio Ebihara, Tomomichi Hagiwara Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs Constructing a Sequence of Relaxation Problems for Robustness Analysis of Uncertain LTI Systems via Dual LMIs PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2174-2179 PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2174-2179 PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2174-2179 2009 英語
T. Hagiwara, Y. Ohara T. Hagiwara, Y. Ohara T. Hagiwara, Y. Ohara Frequency-dependent scaling induced by noncausal linear periodically time-varying scaling for discre Frequency-dependent scaling induced by noncausal linear periodically time-varying scaling for discre Frequency-dependent scaling induced by noncausal linear periodically time-varying scaling for discre IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 2008 英語
Y. Onishi, Y. Ebihara, T. Hagiwara Y. Onishi, Y. Ebihara, T. Hagiwara Y. Onishi, Y. Ebihara, T. Hagiwara Extracting worst case perturbations for robustness analysis of parameter-dependent LTI systems Extracting worst case perturbations for robustness analysis of parameter-dependent LTI systems Extracting worst case perturbations for robustness analysis of parameter-dependent LTI systems IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 IFAC Proceedings Volumes (IFAC-PapersOnline), 17, 1 PART 1 2008 英語
Tomomichi Hagiwara Tomomichi Hagiwara Tomomichi Hagiwara Fast-Lifting Approach to Time-Delay Systems: Fundamental Framework Fast-Lifting Approach to Time-Delay Systems: Fundamental Framework Fast-Lifting Approach to Time-Delay Systems: Fundamental Framework 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 5292-5299 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 5292-5299 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 5292-5299 2008 英語
Tomomichi Hagiwara, Koichiro Okada Tomomichi Hagiwara, Koichiro Okada Tomomichi Hagiwara, Koichiro Okada gamma-independent H-infinity-discretization of sampled-data systems by modified fast-sample/fast-hold approximation with fast lifting gamma-independent H-infinity-discretization of sampled-data systems by modified fast-sample/fast-hold approximation with fast lifting gamma-independent H-infinity-discretization of sampled-data systems by modified fast-sample/fast-hold approximation with fast lifting 2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 4966-4972 2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 4966-4972 2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 4966-4972 2008 英語
Y. Ebihara, Y. Onishi, T. Hagiwara Y. Ebihara, Y. Onishi, T. Hagiwara Y. Ebihara, Y. Onishi, T. Hagiwara Robust performance analysis of uncertain LTI systems: Dual LMI approach and verifications for exactness Robust performance analysis of uncertain LTI systems: Dual LMI approach and verifications for exactness Robust performance analysis of uncertain LTI systems: Dual LMI approach and verifications for exactness Proceedings of the IEEE Conference on Decision and Control, 6304-6309 Proceedings of the IEEE Conference on Decision and Control, 6304-6309 Proceedings of the IEEE Conference on Decision and Control, 6304-6309 2007 英語
T. Hagiwara, H. Umeda T. Hagiwara, H. Umeda T. Hagiwara, H. Umeda Robust stability analysis of sampled-data systems with noncausal periodically time-varying scaling: Optimization of scaling via approximate discretization and error bound analysis Robust stability analysis of sampled-data systems with noncausal periodically time-varying scaling: Optimization of scaling via approximate discretization and error bound analysis Robust stability analysis of sampled-data systems with noncausal periodically time-varying scaling: Optimization of scaling via approximate discretization and error bound analysis Proceedings of the IEEE Conference on Decision and Control, 450-457 Proceedings of the IEEE Conference on Decision and Control, 450-457 Proceedings of the IEEE Conference on Decision and Control, 450-457 2007 英語
Y. Ebihara, T. Hagiwara Y. Ebihara, T. Hagiwara Y. Ebihara, T. Hagiwara Further results on computing the distance to uncontrollability via LMIs Further results on computing the distance to uncontrollability via LMIs Further results on computing the distance to uncontrollability via LMIs Proceedings of the American Control Conference, 6157-6162 Proceedings of the American Control Conference, 6157-6162 Proceedings of the American Control Conference, 6157-6162 2007 英語
Y. Ebihara, D. Peaucelle, D. Arzelier, T. Hagiwara Y. Ebihara, D. Peaucelle, D. Arzelier, T. Hagiwara Y. Ebihara, D. Peaucelle, D. Arzelier, T. Hagiwara Robust H<sub>2</sub> performance analysis of uncertain lti systems via polynomially parameter-dependent Lyapunov functions Robust H<sub>2</sub> performance analysis of uncertain lti systems via polynomially parameter-dependent Lyapunov functions Robust H<sub>2</sub> performance analysis of uncertain lti systems via polynomially parameter-dependent Lyapunov functions IFAC Proceedings Volumes (IFAC-PapersOnline), 5, PART 1, 435-440 IFAC Proceedings Volumes (IFAC-PapersOnline), 5, PART 1, 435-440 IFAC Proceedings Volumes (IFAC-PapersOnline), 5, PART 1, 435-440 2006 英語
Yoshio Ebihara, Tomomichi Hagiwara Yoshio Ebihara, Tomomichi Hagiwara Yoshio Ebihara, Tomomichi Hagiwara Computing the distance to uncontrollability via LMIs: Lower and upper bounds computation and exactness verification Computing the distance to uncontrollability via LMIs: Lower and upper bounds computation and exactness verification Computing the distance to uncontrollability via LMIs: Lower and upper bounds computation and exactness verification PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 5772-5777 PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 5772-5777 PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 5772-5777 2006 英語
T. Hagiwara, H. Umeda, M. Sawada T. Hagiwara, H. Umeda, M. Sawada T. Hagiwara, H. Umeda, M. Sawada Discretization of continuous-time controllers based on the Hilbert-Schmidt norm of the sampled-data frequency response Discretization of continuous-time controllers based on the Hilbert-Schmidt norm of the sampled-data frequency response Discretization of continuous-time controllers based on the Hilbert-Schmidt norm of the sampled-data frequency response Proceedings of the IEEE Conference on Decision and Control, 4891-4898 Proceedings of the IEEE Conference on Decision and Control, 4891-4898 Proceedings of the IEEE Conference on Decision and Control, 4891-4898 2006 英語
T. Hagiwara, R. Mori T. Hagiwara, R. Mori T. Hagiwara, R. Mori Robust stability analysis of sampled-data systems via periodically time-varying scaling Robust stability analysis of sampled-data systems via periodically time-varying scaling Robust stability analysis of sampled-data systems via periodically time-varying scaling Proceedings of the American Control Conference, 2006, 213-219 Proceedings of the American Control Conference, 2006, 213-219 Proceedings of the American Control Conference, 2006, 213-219 2006 英語
T. Hagiwara, H. Tanaka T. Hagiwara, H. Tanaka T. Hagiwara, H. Tanaka A study on robust stability analysis of sampled-data systems against parametric uncertainties via a separator-type stability theorem A study on robust stability analysis of sampled-data systems against parametric uncertainties via a separator-type stability theorem A study on robust stability analysis of sampled-data systems against parametric uncertainties via a separator-type stability theorem 2006 SICE-ICASE International Joint Conference, 2969-2973 2006 SICE-ICASE International Joint Conference, 2969-2973 2006 SICE-ICASE International Joint Conference, 2969-2973 2006 英語
Y. Ebihara, K. Maeda, T. Hagiwara Y. Ebihara, K. Maeda, T. Hagiwara Y. Ebihara, K. Maeda, T. Hagiwara Robust D-stability analysis of uncertain polynomial matrices via polynomial-type multipliers Robust D-stability analysis of uncertain polynomial matrices via polynomial-type multipliers Robust D-stability analysis of uncertain polynomial matrices via polynomial-type multipliers IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 191-196 IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 191-196 IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 191-196 2005 英語
J. Zhou, T. Hagiwara J. Zhou, T. Hagiwara J. Zhou, T. Hagiwara Finite-dimensional models in evaluating the H<sub>2</sub> norm of continuous-time periodic systems Finite-dimensional models in evaluating the H<sub>2</sub> norm of continuous-time periodic systems Finite-dimensional models in evaluating the H<sub>2</sub> norm of continuous-time periodic systems IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 260-265 IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 260-265 IFAC Proceedings Volumes (IFAC-PapersOnline), 16, 260-265 2005 英語
Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier, Tomomichi Hagiwara Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier, Tomomichi Hagiwara Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier, Tomomichi Hagiwara Robust performance analysis of linear time-invariant uncertain systems by taking higher-order time-derivatives of the state Robust performance analysis of linear time-invariant uncertain systems by taking higher-order time-derivatives of the state Robust performance analysis of linear time-invariant uncertain systems by taking higher-order time-derivatives of the state 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 5030-5035 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 5030-5035 2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, 5030-5035 2005 英語
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara On model reduction using LMI's On model reduction using LMI's On model reduction using LMI's PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 774-779 PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 774-779 PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 774-779 2004 英語
J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki J Zhou, T Hagiwara, M Araki Harmonic Hamiltonian test for the H-infinity performance in linear continuous-time periodic systems Harmonic Hamiltonian test for the H-infinity performance in linear continuous-time periodic systems Harmonic Hamiltonian test for the H-infinity performance in linear continuous-time periodic systems 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2, 1795-1800 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2, 1795-1800 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2, 1795-1800 2003 英語
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Structured controller synthesis using LMI and alternating projection method Structured controller synthesis using LMI and alternating projection method Structured controller synthesis using LMI and alternating projection method 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 6, 5632-5637 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 6, 5632-5637 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 6, 5632-5637 2003 英語
E Furutani, T Hagiwara, M Araki E Furutani, T Hagiwara, M Araki E Furutani, T Hagiwara, M Araki Two-degree-of-freedom design method of state-predictive LQI servo systems Two-degree-of-freedom design method of state-predictive LQI servo systems Two-degree-of-freedom design method of state-predictive LQI servo systems IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 149, 5, 365-378 2002/09 英語
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Robust controller synthesis with parameter-dependent Lyapunov variables: A dilated LMI approach Robust controller synthesis with parameter-dependent Lyapunov variables: A dilated LMI approach Robust controller synthesis with parameter-dependent Lyapunov variables: A dilated LMI approach PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 4, 4179-4184 PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 4, 4179-4184 PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 4, 4179-4184 2002 英語
Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara Y Ebihara, T Hagiwara New dilated LMI characterizations for continuous-time control design and robust multiobjective control New dilated LMI characterizations for continuous-time control design and robust multiobjective control New dilated LMI characterizations for continuous-time control design and robust multiobjective control PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1-6, 47-52 PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1-6, 47-52 PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1-6, 47-52 2002 英語
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara Computing frequency response gains of linear continuous-time periodic systems Computing frequency response gains of linear continuous-time periodic systems Computing frequency response gains of linear continuous-time periodic systems IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 148, 4, 291-297 2001/07 英語
J. Zhou, T. Hagiwara J. Zhou, T. Hagiwara J. Zhou, T. Hagiwara H<sub>∞</sub> norm computation of continuous-time periodic systems - Asymptotic Hamiltonian test and modified bisection algorithm H<sub>∞</sub> norm computation of continuous-time periodic systems - Asymptotic Hamiltonian test and modified bisection algorithm H<sub>∞</sub> norm computation of continuous-time periodic systems - Asymptotic Hamiltonian test and modified bisection algorithm Proceedings of the SICE Annual Conference, 164-169 Proceedings of the SICE Annual Conference, 164-169 Proceedings of the SICE Annual Conference, 164-169 2001 英語
J Zhou, T Hagiwara J Zhou, T Hagiwara J Zhou, T Hagiwara Existence conditions and applications of shifting sliding mode control Existence conditions and applications of shifting sliding mode control Existence conditions and applications of shifting sliding mode control PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2, 1415-1420 PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2, 1415-1420 PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2, 1415-1420 2001 英語
Y Ebihara, T Hagiwara, T Shimomura Y Ebihara, T Hagiwara, T Shimomura Y Ebihara, T Hagiwara, T Shimomura Multiobjective state-feedback control design with non-common LMI solutions: Change of variables via affine functions Multiobjective state-feedback control design with non-common LMI solutions: Change of variables via affine functions Multiobjective state-feedback control design with non-common LMI solutions: Change of variables via affine functions PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 848-853 PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 848-853 PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 848-853 2001 英語
Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Y Ito, T Hagiwara, H Maeda, M Araki Further study on the bisection algorithm for the frequency response gain computation of sampled-data systems and related issues Further study on the bisection algorithm for the frequency response gain computation of sampled-data systems and related issues Further study on the bisection algorithm for the frequency response gain computation of sampled-data systems and related issues PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 180-184 PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 180-184 PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1, 180-184 2000 英語
T Hagiwara T Hagiwara T Hagiwara Nyquist stability criterion and positive realness of sampled-data systems Nyquist stability criterion and positive realness of sampled-data systems Nyquist stability criterion and positive realness of sampled-data systems PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 958-962 PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 958-962 PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2, 958-962 2000 英語
T Hagiwara, E Furutani, M Araki T Hagiwara, E Furutani, M Araki T Hagiwara, E Furutani, M Araki Optimal observers for disturbance rejection in two-degree-of-freedom LQI servo systems Optimal observers for disturbance rejection in two-degree-of-freedom LQI servo systems Optimal observers for disturbance rejection in two-degree-of-freedom LQI servo systems IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 144, 6, 575-581 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 144, 6, 575-581 IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 144, 6, 575-581 1997/11 英語
Tomomichi Hagiwara, Yuusuke Monobe, Mituhiko Araki Tomomichi Hagiwara, Yuusuke Monobe, Mituhiko Araki Tomomichi Hagiwara, Yuusuke Monobe, Mituhiko Araki On the structure of H<sub>2</sub>-optimal sampled-data controllers On the structure of H<sub>2</sub>-optimal sampled-data controllers On the structure of H<sub>2</sub>-optimal sampled-data controllers Proceedings of the IEEE Conference on Decision and Control, 1 Proceedings of the IEEE Conference on Decision and Control, 1 Proceedings of the IEEE Conference on Decision and Control, 1 1996 英語
T Hagiwara, G Kuroda, M Araki T Hagiwara, G Kuroda, M Araki T Hagiwara, G Kuroda, M Araki Stability of sampled-data systems with a time-invariant memoryless sector nonlinearity Stability of sampled-data systems with a time-invariant memoryless sector nonlinearity Stability of sampled-data systems with a time-invariant memoryless sector nonlinearity PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2, 1264-1265 PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2, 1264-1265 PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2, 1264-1265 1996 英語
Tomomichi Hagiwara, Yoshimichi Ito, Mituhiko Araki Tomomichi Hagiwara, Yoshimichi Ito, Mituhiko Araki Tomomichi Hagiwara, Yoshimichi Ito, Mituhiko Araki Frequency response gains and H<sub>∞</sub>-norm of a sampled-data system Frequency response gains and H<sub>∞</sub>-norm of a sampled-data system Frequency response gains and H<sub>∞</sub>-norm of a sampled-data system Proceedings of the IEEE Conference on Decision and Control, 1, 722-723 Proceedings of the IEEE Conference on Decision and Control, 1, 722-723 Proceedings of the IEEE Conference on Decision and Control, 1, 722-723 1994 英語
Tomomichi Hagiwara, Eiko Furutani, Mituhiko Araki Tomomichi Hagiwara, Eiko Furutani, Mituhiko Araki Tomomichi Hagiwara, Eiko Furutani, Mituhiko Araki Two-degree-of-freedom design method of LQI servo systems - performance deterioration by the introduction of an observer and optimal observer design Two-degree-of-freedom design method of LQI servo systems - performance deterioration by the introduction of an observer and optimal observer design Two-degree-of-freedom design method of LQI servo systems - performance deterioration by the introduction of an observer and optimal observer design Proceedings of the IEEE Conference on Decision and Control, 4, 4204-4209 Proceedings of the IEEE Conference on Decision and Control, 4, 4204-4209 Proceedings of the IEEE Conference on Decision and Control, 4, 4204-4209 1994 英語
M ARAKI, T HAGIWARA, T FUJIMURA, Y GOTO M ARAKI, T HAGIWARA, T FUJIMURA, Y GOTO M ARAKI, T HAGIWARA, T FUJIMURA, Y GOTO ON ROBUST STABILITY OF MULTIRATE DIGITAL-CONTROL SYSTEMS ON ROBUST STABILITY OF MULTIRATE DIGITAL-CONTROL SYSTEMS ON ROBUST STABILITY OF MULTIRATE DIGITAL-CONTROL SYSTEMS PROCEEDINGS OF THE 29TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, 3, 1923-1924 PROCEEDINGS OF THE 29TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, 3, 1923-1924 PROCEEDINGS OF THE 29TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, 3, 1923-1924 1990 英語

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# What is the difference between the lengths of diagonals of

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What is the difference between the lengths of diagonals of [#permalink]  15 Nov 2007, 07:43
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What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

(1) AB - BC = 2
(2) Angle ABC = 30 degrees
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Re: Diagonal lengths [#permalink]  15 Nov 2007, 08:02
bmwhype2 wrote:
What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2
2. Angle ABC = 30 degrees

E you can keep all points ABC in place and move point B around to achieve any difference in length
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Re: Diagonal lengths [#permalink]  15 Nov 2007, 08:11
antihero wrote:
bmwhype2 wrote:
What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2
2. Angle ABC = 30 degrees

E you can keep all points ABC in place and move point B around to achieve any difference in length

I dont follow - how do you move one point about but not another? If it's a parallelogram, then surely moving one point will move one of the other's if it is to maintain two parallel sides?
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Re: Diagonal lengths [#permalink]  15 Nov 2007, 09:38
antihero wrote:
alrussell wrote:
antihero wrote:
bmwhype2 wrote:
What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2
2. Angle ABC = 30 degrees

E you can keep all points ABC in place and move point B around to achieve any difference in length

I dont follow - how do you move one point about but not another? If it's a parallelogram, then surely moving one point will move one of the other's if it is to maintain two parallel sides?

Still E

Agreed - but how do you move a single point around? Im confused.
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Re: Diagonal lengths [#permalink]  16 Nov 2007, 05:47
bmwhype2 wrote:
What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2
2. Angle ABC = 30 degrees

I am confused to. How can diagonals of a parallelogram be different in length.
They have to be equal in length to satisfy the definition of a parallelogram which is
" A quadrilateral with both pairs of opposite sides parallel and equal in length."
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Re: What is the difference between the lengths of diagonals of [#permalink]  24 Jul 2012, 19:27
What is the difference between the lengths of diagonals of parallelogram $$ABCD$$ ( $$BD \gt AC$$ )?

$$AB - BC = 2$$
$$\angle ABC = 30$$ degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.
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Re: Diagonal lengths [#permalink]  25 Jul 2012, 04:00
saviop wrote:
bmwhype2 wrote:
What is the difference between the lengths of diagonals of parallelogram ABCD (BD > AC)

1. AB - BC = 2
2. Angle ABC = 30 degrees

I am confused to. How can diagonals of a parallelogram be different in length.
They have to be equal in length to satisfy the definition of a parallelogram which is
" A quadrilateral with both pairs of opposite sides parallel and equal in length."

It says "sides" and not diagonals!!!
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Re: What is the difference between the lengths of diagonals of [#permalink]  25 Jul 2012, 04:50
2
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teal wrote:
What is the difference between the lengths of diagonals of parallelogram $$ABCD$$ ( $$BD \gt AC$$ )?

$$AB - BC = 2$$
$$\angle ABC = 30$$ degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.

For B:
Given one angle of the parallelogram, all its angles are determined as you mentioned.
So, the "shape" of the parallelogram is uniquely determined, meaning all of them are similar, they are just "smaller" or "larger".
Similarity also means the lengths of the sides and the diagonals (which can also be seen as sides in some triangles, like half of the parallelogram) increase or decrease proportionally, so their difference cannot remain a constant.

For C:
Please, refer to the attached drawing, where y in fact is $$2x+2-x\sqrt{3}$$.
The diagonals then can be expressed in terms of x, but we don't have any specific value for x.

Attachments

Parallelogram30.jpg [ 11.92 KiB | Viewed 2145 times ]

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Re: What is the difference between the lengths of diagonals of [#permalink]  19 Apr 2014, 10:30
teal wrote:
What is the difference between the lengths of diagonals of parallelogram $$ABCD$$ ( $$BD \gt AC$$ )?

$$AB - BC = 2$$
$$\angle ABC = 30$$ degrees

OA:E

Here is my reasoning -

A) Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle. ( Rectangle has equal diags.) - Insuff.

B) One angle =30. Due to the property of Parallelogram, this restricts the other angles to 30, 150, 30 (opp angles equal and adjacent angles supplementary). So we have a definite shape for parallelogram but NOT a fixed size so we can still vary the size. As size will vary, the difference between diagonals should also vary -

Here is my question for Forum moderators - as the size of parallelogram will increase will the difference between it's diagonals also increase , right?? vice versa for decrease???? Please confirm.

For C -

You can still vary the size of the quad, so the difference in diagonals should vary, hence E.

HI,

I have couple of queries here.

1. the question is talking about parallelogram. so it can be rectangle ( can not be square or rohumbus) or parallelogram ( oppsite sites and opposite angles are equal)

so what you mean by

"Difference between two diagonals does not restrict the shape of the quad. If it's shape is closer to rectangle then diff between diagonals is very less as opposed to if you change the quad's shape to move away from being a rectangle"

Thanks.
Re: What is the difference between the lengths of diagonals of   [#permalink] 19 Apr 2014, 10:30
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# Simple Array Problem

This topic is 6730 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.

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You can only initialise the array with the braces when you declare the array. It can't be done afterwards.

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1. If you just want to set the array to one value, such as zero, then memset() is the way to go.
2. If you realize that for the compiler to do the desired initialization it must have the data stored in the executable file somewhere anyway, you quickly see that you would use up lots of memory if you are storing many of these blocks in the code itself, (but this is of course unavoidable if the blocks are not able to be generated via some mathmatical function).
3. Once you realize #2, then you see that if this behavior is what you need, just declare another local variable where you want to set the array (using the initialization structure you desire), then copy it into the target via memcpy().
4. If these blocks are many, and may be used in multiple places, you can simply define them in some global area, as you would any other global array, then just memcpy() wherever they are needed. Treat these globals not as variables but instead as constants.
-K.McAfee

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I see people make this mistake hundreds of times. And people
still don't learn the basic rules.

Rules for C/C++ declaration are special cases! Namely,
structures, strings, and arrays all have special declaration
cases! They can't be used anywhere else!

However, you may actually be able to do this in syntax, but you
have to create a special C++ overloaded operator to handle the case.
Just look at examples how people do string concantenation with

Just another thought.

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c/c++ doesn't allow that...but you can do this-
code:
for(int y=0; y<5; y++){    for(int x=0; x<5; x++)        grid[x][y] = 0;}

[This message has been edited by lshadow (edited October 19, 1999).]

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Ok this is a really basic C question. How do I assign values to an array that has already been initialized?

I want to be able to do this:

int grid[][5] = {(0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0}};

by doing something like this:

**********************

int grid[5][5];

//blah blah lots of game code here

grid[][5] = {(0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0},
{0,0,0,0,0}};

*****************
I get all kinds of syntax errors and such when I do this. Does anybody know how I do this?

I know I can just assign all 25 values individually, but I want to know if there is a faster/better way to do it.

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You cannot initialize an array in C++ after the fact, it must be initialize when you declare it. However the simple way around this is to declare your array, do some stuff, then when you need to initialize if just create a new variable, initialize it, and then copy the new array into the old array... like so:

int grid[5][5];

// blah, blah...

int grid2[5][5] = {0,1,2,3,4,5,6,7, ... } // etc.

memcpy(grid, grid2, sizeof(grid));

Simple as that!


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Elementary equivalence of free groups

This must be known inside out by model theorists by I have no cluse whether the following is true or not:

Denote by $F_n$ the free group on $n$ generators. Suppose that $n\neq m$. Are the groups $F_n$ and $F_m$ elementarily equivalent? What if we allow the set of generators to be countably infinite?

I'd appreciate any hints for the proof of the answer to this question. Looking at ultrapowers seem to me to be intractable, but who knows?

-
Note that we want to ask when $m,n \ge 2$, since $m=1$ can be distinguished by abelianness. – hardmath Jul 16 '14 at 19:16

It includes free groups on infinitely many generators. Though for them it is much easier. For infinite $X \subseteq Y$ it is easy to show that $F_X \preceq F_Y$ by Tarski-Vaught test. – Levon Haykazyan Jul 17 '14 at 9:24
@LevonHaykazyan Do you know whether 1) $F_X \equiv F_Y$ when $2 < |X| < \aleph_0$ and $Y$ is infinite? 2) $F_X\preceq F_Y$ when $X\subseteq Y$ and $X$ and $Y$ are finite? Of course, a positive answer to (2) implies a positive answer to (1)... – Alex Kruckman Jul 19 '14 at 1:37