Chapter in Book
- Hiroaki Mukaidani, Yasuhisa Ishii, Yoshiyuki Tanaka and Toshio Tsuji :
Robust Static and Dynamic Output Feedback Suboptimal Control of Uncertain Discrete-Time Systems Using Additive Gain Perturbations,
Optimization Theory, Nova Science Publishers, Inc. pp.387-406 (2011)
- Hiroaki Mukaidani and Vasile Dragan :
Numerical Computation for Solving Cross-Coupled Large-Scale Singularly Perturbed Stochastic Algebraic Riccati Equation,
Large Scale Computations, Nova Science Publishers, Inc. pp.407-424 (2011)
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami: Numerical
Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of
Singularly Perturbed Systems, the Annals of the International Symposium on
Dynamic Games and Applications, Birkhauser, pp.545-570 (2005).
Publications
- Hiroaki Mukaidani :
Dynamic Games for Stochastic Systems with Delay,
Asian Journal of Control, (to appear).
- Hiroaki Mukaidani and Toru Yamamoto:
Nash Strategy for Multiparameter Singularly Perturbed Markov Jump Stochastic Systems,
IET Control Theory & Applications (Brief paper), Vol.6, Issue 14, pp.2337-2345, 2012.
- Vasile Dragan, Hiroaki Mukaidani and Peng Shi :
The Linear Quadratic Regulator Problem for a Class of Controlled Systems Modeled by Singularly Perturbed Ito Differential Equations,
SIAM J. Control and Optimization, Vol.50, No.1, pp.448-470, 2012.
- Hiroaki Mukaidani :
Guaranteed Cost PID Control for Uncertain Discrete-Time Stochastic Systems with Additive Gain Perturbations,
Asian Journal of Control (Brief paper), Vol.13, No.6, pp.1005-1017, Nov. 2011.
- Hiroaki Mukaidani :
Local Feedback Pareto Strategy for Weakly Coupled Large Scale Discrete-Time Stochastic Systems,
IET Control Theory & Applications, Vol.5, Issue 17, pp.2005-2014, 2011.
- Muneomi Sagara, Hiroaki Mukaidani and Vasile Dragan :
Near-Optimal Control for Multiparameter Singularly Perturbed Stochastic Systems,
Optimal Control, Applications and Methods, Vol.32, Issue 1, pp.113-125, January/February 2011.
Paper
- Hiroaki Mukaidani, Hua Xu and Vasile Dragan :
Stochastic Optimal Control for Weakly Coupled Large-Scale Systems via State and Static Output Feedback,
IET Control Theory & Applications (Brief paper), Vol.4, Issue 9, pp.1849-1858, 2010.
- Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto :
Near-Optimal Control for Singularly Perturbed Stochastic Systems,
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E92-A, No.11, pp.2874-2882, 2009.
- Hiroaki Mukaidani and Hua Xu :
Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems with State Dependent System Noise,
IEEE Transactions on Automatic Control (Technical notes),
Vol.54, No.9, pp.2244-2250, 2009.
- Hiroaki Mukaidani :
The Guaranteed Cost Control for Uncertain Nonlinear Large-Scale Stochastic Systems via State and Static Output Feedback,
Journal of Mathematical Analysis and Applications, Vol.359, Issue 2, 15 November, pp.527-535, 2009.
Paper
- Hiroaki Mukaidani :
Robust Guaranteed Cost Control for Uncertain Stochastic Systems with Multiple Decision Makers,
AUTOMATICA (Brief paper),
Vol.45, No.7, pp.1758-1764, 2009.
Paper
- Hiroaki Mukaidani :
Soft-Constrained Stochastic Nash Games for Weakly Coupled Large-Scale Systems,
AUTOMATICA (Brief paper),
Vol.45, No.5, pp.1272-1279, 2009.
Paper
- Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto :
Efficient Numerical Computations of Soft Constrained Nash Strategy for Weakly Coupled Large-Scale Systems,
Journal of Computers, Vol.3, No.9, pp.2-10, 2008.
- Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto :
Recursive Computation of Static Output Feedback Stochastic Nash Games for Weakly-Coupled Large-Scale Systems,
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E91-A, No.2, pp.682-685, 2008.
- Hiroaki Mukaidani :
Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H∞-Constrained LQG Control Problem,
Applied Mathematics and Computation, Vol.199, Issue 2, pp.663-676, 2008.
- Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto :
Numerical Solution of Stochastic Nash Games with State-Dependent Noise for Weakly Coupled Large-Scale Systems,
Applied Mathematics and Computation, Vol.197, Issue 2, pp.844-857, 2008.
- Hiroaki Mukaidani, Seiji Yamamoto and Toru Yamamoto :
A Numerical Algorithm for Finding Solution of Cross-Coupled Algebraic Riccati Equations,
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Letter), Vol.E91-A, No.2, pp.682-685, 2008.
- Hiroaki Mukaidani :
Numerical Computation for H∞ Output Feedback Control for Strongly Coupled Large-Scale Systems,
Applied Mathematics and Computation, Vol.197, Issue 1, pp.212-227, 2008.
- Muneomi Sagara, Hiroaki Mukaidani and Toru Yamamoto :
Stochastic H∞ Control Problem with State-Dependent Noise for Weakly Coupled Large-Scale Systems,
IEEJ Transactions of Electrical & Electronic Engineering,
Vol.2, Issue 6, pp.571-578, 2007.
- Hiroaki Mukaidani :
A Numerical Algorithm for Finding Solution of Sign-Indefinite Algebraic Riccati Equations for General Multiparameter Singularly Perturbed Systems,
Applied Mathematics and Computation, Vol.189, Issue 1, pp.255-270, 2007.
- Hiroaki Mukaidani :
Efficient Numerical Procedures for Solving Closed-Loop Stackelberg Strategies with Small Singular Perturbation Parameter,
Applied Mathematics and Computation, Vol.188, Issue 2, pp.1173-1183, 2007.
- Hiroaki Mukaidani :
Newton's Method for Solving Cross-Coupled Sign-Indefinite Algebraic Riccati Equations for Weakly Coupled Large-Scale Systems,
Applied Mathematics and Computation, Vol.188, Issue 1, pp.103-115, 2007.
Paper (PDF)
- Hiroaki Mukaidani :
Numerical Computation of Sign Indefinite Linear Quadratic Differential Games for Weakly Coupled Large-Scale Systems,
International Journal of Control, Vol.80, No.1, pp.75-86, 2007.
Paper (PDF)
- Hiroaki Mukaidani :
Local Uniqueness for Nash Solutions of Multiparameter Singularly Perturbed Systems,
IEEE Transactions on Circuits & Systems II: Express Briefs,
Vol.53, No.10, pp.1103-1107, 2006.
Paper (PDF)
- Hiroaki Mukaidani :
A Numerical Analysis of the Nash Strategy for Weakly Coupled Large-Scale Systems,
IEEE Transactions on Automatic Control (Technical notes),
Vol.51, No.8, pp.1371-1377, 2006.
Paper (PDF)
- Hiroaki Mukaidani :
Optimal Numerical Strategy for Nash Games of Weakly Coupled Large-Scale Systems,
Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms,
Vol.13, No.2, pp.249-268, 2006.
- Hiroaki Mukaidani :
Nash Games for Multiparameter Singularly Perturbed Systems with Uncertain Small Singular Perturbation Parameters,
IEEE Transactions on Circuits & Systems II: Express Briefs,
Vol.52, No.9, pp.586-590, 2005.
Paper (PDF)
- Hiroaki Mukaidani, Yasuhisa Ishii, Nan Bu, Yoshiyuki Tanaka and Toshio Tsuji :
LMI Based Neurocontroller for State-Feedback Guaranteed Cost Control of Discrete-Time Uncertain System,
"Special Issue on Recent Advances in Circuits and Systems" of
IEICE Transactions on Information and Systems,
Vol.E88-D, No.8, pp.1903-1911, 2005.
Paper (PDF)
- Hiroaki Mukaidani :
Numerical Computation for H2 State Feedback Control of Large-Scale Systems,
Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms,
Vol.12, No.2, pp.281-296, 2005.
- Hiroaki Mukaidani :
A New Approach to Robust Guaranteed Cost Control for Uncertain Multimodeling Systems,
AUTOMATICA (Brief paper),
Vol.41, No.6, pp.1055-1062, 2005.
Paper (PDF)
- Hiroaki Mukaidani :
A New Design Approach for Solving Linear Quadratic Nash Games of Multiparameter Singularly Perturbed Systems,
IEEE Transactions on Circuits & Systems I: Regular Papers,
Vol.52, No.5, pp.960-974, 2005.
Paper (PDF)
- Hiroaki Mukaidani :
Recursive Approach of Optimal Kalman Filtering Problem for Multiparameter Singularly Perturbed Systems,
International Journal of Systems Sciences,
Vol.36, No.1, pp.1-11, 2005.
Paper (PDF)
- Hiroaki Mukaidani :
An LMI Approach to Decentralized Guaranteed Cost Control for a Class of Uncertain Nonlinear Large-Scale Delay Systems,
Journal of Mathematical Analysis and Applications,
Vol.300, Issue 1, December, pp.17-29, 2004.
Paper (PDF)
- Hiroaki Mukaidani and Hua Xu :
Recursive Computation of Nash Strategy for Multiparameter Singularly Perturbed Systems,
Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms,
Vol.11, No.6, pp.673-700, 2004.
- Hiroaki Mukaidani, Tetsu Shimomura and Hua Xu :
Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H2/H∞
Control Problem for Singularly Perturbed Systems,
International Journal of Robust and Nonlinear Control,
Vol. 14, Issue 8, pp.697-717, 2004.
Paper (PDF)
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
New Results for Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems,
AUTOMATICA (Brief paper),
Vol.39, No.12, pp.2157-2167, 2003.
Paper (PDF)
- Hiroaki Mukaidani :
An LMI Approach to Guaranteed Cost Control for Uncertain Delay systems,
IEEE Transactions on Circuits & Systems I: Fundamental Theory and Applications (Transactions briefs),
Vol.50, No.6, pp.795-800, 2003.
Paper (PDF)
- Hiroaki Mukaidani :
Near-Optimal Kalman Filters for Multiparameter Singularly Perturbed Linear Systems,
IEEE Transactions on Circuits & Systems I: Fundamental Theory and Applications (Transactions briefs),
Vol.50, No.5, pp.717-721, 2003.
Paper (PDF)
- Hua Xu and Hiroaki Mukaidani :
The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems,
International Game Theory Review,
Vol.5, No.4, pp.361-374, 2003.
- Hiroaki Mukaidani, Tetsu Shimomura and Hua Xu :
Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems,
IEEE Transactions on Automatic Control (Technical notes),
Vol.47, No.12, pp.2051-2057, 2002.
Paper (PDF)
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
Recursive Computation of Pareto Optimal Strategy for Multiparameter Singularly Perturbed Systems,
Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms,
Vol.9, No.2, pp.175-200, 2002.
Paper (PDF)
- Hiroaki Mukaidani, Tetsu Shimomura and Koichi Mizukami :
Asymptotic Expansions and New Numerical Algorithm of the Algebraic Riccati Equation for Multiparameter Singularly Perturbed Systems,
Journal of Mathematical Analysis and Applications,
Vol.267, Issue 1, March, pp.209-234, 2002.
Paper (PDF)
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
A Revised Kleinman Algorithm to Solve Algebraic Riccati Equation of Singularly Perturbed Systems,
AUTOMATICA (Technical communique),
Vol.38, No.3, pp.553-558, 2002.
Paper (PDF)
- Hiroaki Mukaidani and Hua Xu :
H2 Guaranteed Cost Control Problem of Singularly Perturbed Systems with Uncertainties,
International Journal of Systems Sciences,
Vol.32, No.11, pp.1333-1343, 2001.
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
New Iterative Algorithm for Algebraic Riccati Equation Related to H∞ Control Problem of Singularly Perturbed Systems,
IEEE Transactions on Automatic Control (Technical notes),
Vol.46, No.10, pp.1659-1666, 2001.
Paper (PDF)
- Hiroaki Mukaidani and Koichi Mizukami :
Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems,
Journal of Mathematical Analysis and Applications,
Vol.251, Issue 2, pp.716-735, November, 2000.
Paper (PDF)
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
Recursive Algorithm for Mixed H2/H∞ Control Problem of Singularly Perturbed Systems,
International Journal of Systems Sciences,
Vol.31, No.10, pp.1299-1312, 2000.
Paper (PDF)
- Hua Xu and Hiroaki Mukaidani :
Connection Between the Generalized Riccati Equations and the Standard Reduced-Order Riccati Equations,
Dynamics of Continuous, Discrete and Impulsive Systems,
Vol.7, No.3, pp.441-453, 2000.
- Hiroaki Mukaidani, Hua Xu and Koichi Mizukami :
Recursive Approach of H∞ Control Problems for Singularly Perturbed Systems Under Perfect and Imperfect State Measurements,
International Journal of Systems Sciences,
Vol.30, No.5, pp.467-477, 1999.
Paper (PDF)
- Hua Xu, Hiroaki Mukaidani and Koichi Mizukami :
New Method for Composite Optimal Control of Singularly Perturbed Systems,
International Journal of Systems Sciences,
Vol.28, No.2, pp.161-172, 1997.
Paper (PDF)
Survey Paper
- Hiroaki Mukaidani and Vasile Dragan :
Control of Deterministic and Stochastic Systems with Several Small Parameters-A Survey,
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Applications, Vol.1, No.1, pp.112-158, 2009.
- Hiroaki Mukaidani :
Discussion on: "An Algorithm for Solving a Perturbed Algebraic Riccati Equation",
European Journal of Control, Vol.10, No.6, pp.583-585, 2004.

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