Numerical computation of cross-coupled algebraic Riccati equations related toH2/H∞ control problem for singularly perturbed systems

Hiroaki Mukaidani; Tetsu Shimomura; Hua Xu

doi:10.1002/rnc.918

Numerical computation of cross-coupled algebraic Riccati equations related toH2/H∞ control problem for singularly perturbed systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.918 ◽

2004 ◽

Vol 14 (8) ◽

pp. 697-717

Author(s):

Hiroaki Mukaidani ◽

Tetsu Shimomura ◽

Hua Xu

Keyword(s):

Control Problem ◽

Numerical Computation ◽

Riccati Equations ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Algebraic Riccati Equations ◽

Perturbed Systems ◽

Coupled Algebraic Riccati Equations

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Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems

Annals of the International Society of Dynamic Games - Advances in Dynamic Games ◽

10.1007/0-8176-4429-6_29 ◽

2007 ◽

pp. 545-570 ◽

Cited By ~ 4

Author(s):

Hiroaki Mukaidani ◽

Hua Xu ◽

Koichi Mizukami

Keyword(s):

Numerical Algorithm ◽

Riccati Equations ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Algebraic Riccati Equations ◽

Perturbed Systems ◽

Coupled Algebraic Riccati Equations

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A numerical algorithm for finding solution of sign-indefinite algebraic Riccati equations for general multiparameter singularly perturbed systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.11.088 ◽

2007 ◽

Vol 189 (1) ◽

pp. 255-270 ◽

Cited By ~ 5

Author(s):

Hiroaki Mukaidani

Keyword(s):

Numerical Algorithm ◽

Riccati Equations ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Algebraic Riccati Equations ◽

Perturbed Systems

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Numerical computation of cross-coupled algebraic Riccati equations related to H∞-constrained LQG control problem

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.10.026 ◽

2008 ◽

Vol 199 (2) ◽

pp. 663-676 ◽

Cited By ~ 5

Author(s):

Hiroaki Mukaidani

Keyword(s):

Control Problem ◽

Numerical Computation ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Lqg Control ◽

Coupled Algebraic Riccati Equations

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Linear-quadratic optimal control problem for singularly perturbed systems with small delays

Nonlinear Analysis and Optimization II - Contemporary Mathematics ◽

10.1090/conm/514/10106 ◽

2010 ◽

pp. 155-188 ◽

Cited By ~ 1

Author(s):

Valery Y. Glizer

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Perturbed Systems ◽

Quadratic Optimal Control

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Fast suboptimal solution to the static output control problem of linear singularly perturbed systems

Automatica ◽

10.1016/0005-1098(91)90064-9 ◽

1991 ◽

Vol 27 (4) ◽

pp. 721-724 ◽

Cited By ~ 1

Author(s):

Dj. Petkovski ◽

N. Harkara ◽

Z. Gajic

Keyword(s):

Control Problem ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Output Control ◽

Perturbed Systems ◽

Suboptimal Solution ◽

Static Output

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H 2 guaranteed cost control problem of singularly perturbed systems with uncertainties

International Journal of Systems Science ◽

10.1080/00207720110051996 ◽

2001 ◽

Vol 32 (11) ◽

pp. 1333-1343 ◽

Cited By ~ 1

Author(s):

Hiroaki Mukaidani ◽

Hua Xu

Keyword(s):

Control Problem ◽

Cost Control ◽

Guaranteed Cost Control ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Guaranteed Cost ◽

Perturbed Systems

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The recursive reduced-order solution of an open-loop control problem of linear singularly perturbed systems

IEEE Transactions on Automatic Control ◽

10.1109/9.121636 ◽

1992 ◽

Vol 37 (2) ◽

pp. 279-281 ◽

Cited By ~ 3

Author(s):

W. Su ◽

Z. Gajic ◽

X. Shen

Keyword(s):

Control Problem ◽

Open Loop ◽

Singularly Perturbed ◽

Open Loop Control ◽

Singularly Perturbed Systems ◽

Loop Control ◽

Reduced Order ◽

Order Solution ◽

Perturbed Systems

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Importance of sufficient precision in stable dynamics for the numerical computation of canards in singularly perturbed systems

Nonlinear Theory and Its Applications IEICE ◽

10.1587/nolta.6.454 ◽

2015 ◽

Vol 6 (4) ◽

pp. 454-465 ◽

Cited By ~ 1

Author(s):

Shinji Doi ◽

Takahiro Kodama ◽

Hiroki Oosaki

Keyword(s):

Numerical Computation ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems ◽

Sufficient Precision

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A new algorithm for solving cross-coupled algebraic Riccati equations of singularly perturbed Nash games

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2000.912274 ◽

2002 ◽

Cited By ~ 4

Author(s):

H. Mukaidani ◽

Hua Xu ◽

K. Mizukami

Keyword(s):

Riccati Equations ◽

Singularly Perturbed ◽

Nash Games ◽

Algebraic Riccati Equations ◽

Coupled Algebraic Riccati Equations

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The Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7040 ◽

2000 ◽

Vol 251 (2) ◽

pp. 716-735 ◽

Cited By ~ 17

Author(s):

Hiroaki Mukaidani ◽

Koichi Mizukami

Keyword(s):

Control Problem ◽

Cost Control ◽

Guaranteed Cost Control ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Guaranteed Cost ◽

Perturbed Systems

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