Recursive Algorithm of Linear Quadratic Nash Games for Singularly Perturbed Systems

Hiroaki MUKAIDANI; Yasuhide KOBAYASHI; Tsuyoshi OKITA

doi:10.9746/sicetr1965.35.630

Recursive Algorithm of Linear Quadratic Nash Games for Singularly Perturbed Systems

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.35.630 ◽

1999 ◽

Vol 35 (5) ◽

pp. 630-637

Author(s):

Hiroaki MUKAIDANI ◽

Yasuhide KOBAYASHI ◽

Tsuyoshi OKITA

Keyword(s):

Recursive Algorithm ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Nash Games ◽

Perturbed Systems

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The Recursive Algorithm of Linear Quadratic Gaussian (LQG) Problems for Nonstandard Singularly Perturbed Systems

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss1987.116.12_1382 ◽

1996 ◽

Vol 116 (12) ◽

pp. 1382-1389

Author(s):

Hiroaki Mukaidani ◽

Koichi Mizukami

Keyword(s):

Recursive Algorithm ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Gaussian ◽

Perturbed Systems

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A new design approach for solving linear quadratic nash games of multiparameter singularly perturbed systems

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications ◽

10.1109/tcsi.2005.846668 ◽

2005 ◽

Vol 52 (5) ◽

pp. 960-974 ◽

Cited By ~ 9

Author(s):

H. Mukaidani

Keyword(s):

Singularly Perturbed ◽

Design Approach ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Nash Games ◽

Perturbed Systems

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Linear Quadratic Gaussian Estimation and Control of Singularly Perturbed Systems

Singular Perturbations in Systems and Control ◽

10.1007/978-3-7091-2638-7_8 ◽

1983 ◽

pp. 191-214

Author(s):

Hassan K. Khalil

Keyword(s):

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Gaussian ◽

Perturbed Systems ◽

Estimation And Control ◽

And Control ◽

Gaussian Estimation

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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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Nash games for multiparameter singularly perturbed systems with uncertain small singular perturbation parameters

IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing ◽

10.1109/tcsii.2005.850779 ◽

2005 ◽

Vol 52 (9) ◽

pp. 586-590 ◽

Cited By ~ 4

Author(s):

H. Mukaidani

Keyword(s):

Singular Perturbation ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Nash Games ◽

Perturbed Systems ◽

Perturbation Parameters

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The Recursive Algorithm for the Optimal Static Output Feedback Control Problem of Linear Singularly Perturbed Systems

10.23919/acc.1988.4789818 ◽

1988 ◽

Author(s):

Z. Gajic ◽

Dj. Petkovski ◽

N. Harkara

Keyword(s):

Feedback Control ◽

Output Feedback ◽

Recursive Algorithm ◽

Output Feedback Control ◽

Singularly Perturbed ◽

Static Output Feedback ◽

Singularly Perturbed Systems ◽

Perturbed Systems ◽

Static Output Feedback Control ◽

Static Output

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Linear-quadratic optimal control of high index singularly perturbed systems

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.20000801433 ◽

2000 ◽

Vol 80 (S2) ◽

pp. 323-324

Author(s):

S. A. Mikhailov ◽

P. C. Müller

Keyword(s):

Optimal Control ◽

High Index ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Perturbed Systems ◽

Quadratic Optimal Control

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Linear?quadratic regulator design for singularly perturbed systems by unified approach using d operators

International Journal of Systems Science ◽

10.1080/00207720010017580 ◽

2001 ◽

Vol 32 (9) ◽

pp. 1119-1125 ◽

Cited By ~ 12

Author(s):

Kyu-Hong Shim ◽

M. Edwin Sawan

Keyword(s):

Linear Quadratic Regulator ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Unified Approach ◽

Linear Quadratic ◽

Perturbed Systems

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Sub-optimal linear quadratic control for singularly perturbed systems

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) ◽

10.1109/cdc.2001.980438 ◽

2003 ◽

Cited By ~ 1

Author(s):

Yan Li ◽

Jian Liang Wang ◽

Guang-Hong Yang

Keyword(s):

Singularly Perturbed ◽

Linear Quadratic Control ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Perturbed Systems ◽

Optimal Linear

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Numerical fixed-point solution for near-optimum regulators of linear quadratic gaussian control problems for singularly perturbed systems†

International Journal of Control ◽

10.1080/00207178608933472 ◽

1986 ◽

Vol 43 (2) ◽

pp. 373-387 ◽

Cited By ~ 24

Author(s):

ZORAN GAJIC

Keyword(s):

Fixed Point ◽

Singularly Perturbed ◽

Control Problems ◽

Singularly Perturbed Systems ◽

Linear Quadratic ◽

Linear Quadratic Gaussian ◽

Perturbed Systems ◽

Point Solution

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