Hiroaki Mukaidani
Last Updated :2024/03/04
- Affiliations, Positions
- Graduate School of Advanced Science and Engineering, Professor
- E-mail
- mukaidahiroshima-u.ac.jp
- Other Contact Details
- Department of Information Engineering, Graduate School of Engineering, Hiroshima University, C/O Faculty of Integrated Arts and Sciences, Hiroshima University, 1-7-1 Kagamiyama, Higashi-Hiroshima, 739-8521, JAPAN., Japan
TEL : (+81)82-424-6476 FAX : (+81)82-424-6476
- Self-introduction
- Hiroaki Mukaidani received his B.S. in Integrated Arts and Sciences from Hiroshima University in 1992 and his M.Eng. and Dr.Eng. degrees in Information Engineering form Hiroshima University in 1994 and 1997, respectively. In April 1998, he joined the Faculty of Information Science at Hiroshima City University as a Research Associate. Since April 2002, he has been with the Graduate School of Education at Hiroshima University as an Assistant Professor and Associate Professor. He became a Full Professor at the Institute of Engineering at Hiroshima University in April 2012. He spent 10 months (from November 2007 to September 2008) as a research fellow at the Department of Electrical and Computer Engineering (ECE), University of Waterloo. His research interests include robust control, dynamic games, and the application of stochastic systems. Dr. Mukaidani is a member of the Institute of Electrical and Electronic Engineers (IEEE).
Basic Information
Major Professional Backgrounds
- 1998/04/01, 2002/03/31, Hiroshima City University, Faculty of Information Sciences, Department of Information Machines & Interfaces, Research Associate
- 2002/04/01, 2005/03/31, Hiroshima University, Graduate School of Education, Department of Technology and Information Education, Lecture
- 2005/04/01, 2007/03/31, Hiroshima University, Graduate School of Education, Department of Technology and Information Education, Associate Professor
- 2007/04/01, 2012/03/31, Hiroshima University, Graduate School of Education, Department of Technology and Information Education, Associate Professor
Educational Backgrounds
- Hiroshima University, Graduate School of Engineering, Information Sciences, Japan, 1994/04, 1997/10
- Hiroshima University, Faculty of Integrated Arts and Sciences, Japan, 1988/04, 1992/03
Academic Degrees
- Dr. Eng. (Ph.D.), Hiroshima University
- Master of Engineering, Hiroshima University
Educational Activity
- [Bachelor Degree Program] School of Informatics and Data Science : Department of Informatics and Data Science : Data Science Program
- [Master's Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Informatics and Data Science Program
- [Doctoral Program] Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Informatics and Data Science Program
In Charge of Primary Major Programs
- Informatics and Data Science Program
Research Fields
- Informatics;Principles of Informatics;Mathematical informatics
Research Keywords
- Systems Theory
- Dynamic Games
- Numerical Analysis
- Large-Scale Network Systems
- Mathematics Education
Affiliated Academic Societies
- Institute of Electrical and Electronics Engineers (IEEE), 2001
- The Society of Instrument and Control Engineers, 1996
- The Institute of Electrical Engineers of Japan, 1994
- The Institute of Electronics, Information and Communication Engineers, 2010
- Japan Society for Educational Technology, 2009
- Institute of Systems, Control and Information Engineers, 2012
Educational Activity
Course in Charge
- 2023, Liberal Arts Education Program1, 1Term, Elements of Calculus
- 2023, Liberal Arts Education Program1, 2Term, CalculusI
- 2023, Liberal Arts Education Program1, 3Term, CalculusII
- 2023, Undergraduate Education, Second Semester, Research Tutorial IB
- 2023, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2023, Undergraduate Education, 3Term, System Optimization
- 2023, Undergraduate Education, 1Term, Differential Equations
- 2023, Undergraduate Education, 2Term, Fourier Analysis
- 2023, Undergraduate Education, 1Term, Information Processing and Industry
- 2023, Undergraduate Education, 3Term, Data Science and Management
- 2023, Undergraduate Education, 1Term, Biostatistics
- 2023, Undergraduate Education, Intensive, Data Analysis for Medical and Welfare Policies
- 2023, Undergraduate Education, Intensive, Total Quality Management and Data Analysis
- 2023, Undergraduate Education, Intensive, Education Policy and Data Analysis
- 2023, Undergraduate Education, 1Term, Data Science Seminar I
- 2023, Undergraduate Education, 2Term, Data Science Seminar II
- 2023, Undergraduate Education, 1Term, Informatics Seminar I
- 2023, Undergraduate Education, 2Term, Informatics Seminar II
- 2023, Undergraduate Education, Second Semester, Graduation Thesis
- 2023, Graduate Education (Master's Program) , 1Term, Special Exercises on Informatics and Data Science A
- 2023, Graduate Education (Master's Program) , 2Term, Special Exercises on Informatics and Data Science A
- 2023, Graduate Education (Master's Program) , 3Term, Special Exercises on Informatics and Data Science A
- 2023, Graduate Education (Master's Program) , 4Term, Special Exercises on Informatics and Data Science A
- 2023, Graduate Education (Master's Program) , 3Term, Special Exercises on Informatics and Data Science B
- 2023, Graduate Education (Master's Program) , 4Term, Special Exercises on Informatics and Data Science B
- 2023, Graduate Education (Master's Program) , 1Term, Special Exercises on Informatics and Data Science B
- 2023, Graduate Education (Master's Program) , 2Term, Special Exercises on Informatics and Data Science B
- 2023, Graduate Education (Master's Program) , Academic Year, Special Study on Informatics and Data Science
- 2023, Graduate Education (Master's Program) , Academic Year, Special Study on Informatics and Data Science
- 2023, Graduate Education (Doctoral Program) , Academic Year, Special Study on Informatics and Data Science
- 2023, Graduate Education (Doctoral Program) , Academic Year, Special Study on Informatics and Data Science
Research Activities
Academic Papers
- Robust static output feedback Nash strategy for uncertain Markov jump linear stochastic systems, IET CONTROL THEORY AND APPLICATIONS, 15(11), 1559-1570, 202107
- Robust incentive Stackelberg strategy for Markov jump linear stochastic systems via static output feedback, IET CONTROL THEORY AND APPLICATIONS, 14(9), 1246-1254, 20200611
- Stackelberg Strategy for Uncertain Markov Jump Delay Stochastic Systems, IEEE CONTROL SYSTEMS LETTERS, 4(4), 1006-1011, 202010
- Robust Static Output Feedback Stackelberg Strategy for Markov Jump Delay Stochastic Systems, Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 12(1-2), 476-500, 202010
- ★, Incentive Stackelberg Games for Stochastic Linear Systems With H-infinity Constraint, IEEE TRANSACTIONS ON CYBERNETICS, 49(4), 1463-1474, 201904
- Differential Games for Weakly Coupled Large-Scale Linear Stochastic Systems with an H-infinity-Constraint, INTERNATIONAL GAME THEORY REVIEW, 20(1), 201803
- H-infinity Constraint Pareto Optimal Strategy for Stochastic LPV Systems, INTERNATIONAL GAME THEORY REVIEW, 20(2), 201806
- Exponential Stability in Mean Square of a Large Class of Singularly Perturbed Stochastic Linear Differential Equations, Annals of the Academy of Romanian Scientists Series on Mathematics and Its Applications, 10(1), 140-164, 201804
- Static Output-Feedback Incentive Stackelberg Game for Discrete-Time Markov Jump Linear Stochastic Systems with External Disturbance, IEEE Control Systems Letters, 2(4), 701-706, 201810
- Three Basic Theorems in Numerical Analysis in Control Engineering Course and Their Application, INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 16(5), 2321-2333, 201810
- Robust Incentive Stackelberg Games for Stochastic LPV Systems, Proceedings of the 57th IEEE Conference on Decision and Control, 1059-1064, 201812
- Static-Output Feedback Stackelberg Strategy of Infinite Horizon Markov Jump Linear Stochastic Systems with H∞ Constraint, Proceedings of the 57th IEEE Conference on Decision and Control, 1935-1940, 201812
- Infinite horizon linear-quadratic Stackelberg games for discrete-time stochastic systems, AUTOMATICA, 76, 301-308, 201702
- Optimal control for a singularly perturbed linear stochastic system with multiplicative white noise perturbations and Markovian jumping, OPTIMAL CONTROL APPLICATIONS & METHODS, 38(2), 205-228, 201703
- Open-Loop Stackelberg Games for Stochastic Systems, IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, E100A(4), 989-995, 201704
- H-infinity-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers, IET CONTROL THEORY AND APPLICATIONS, 11(15), 2475-2485, 201710
- A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, IEEE Control Systems Letters, 1(2), 250-255, 201710
- Exponential stability in mean square of a singularly perturbed linear stochastic system with state-multiplicative white-noise perturbations and Markovian switching, IET Control Theory & Applications, 10(9), 1040-1051, 201606
- Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems, IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, E99A(9), 1721-1725, 201609
- ★, Stackelberg Strategies for Stochastic Systems with Multiple Followers, Automatica, 53, 53-59, 201503
- ★, Decentralized H2 Control for Multi-Channel Stochastic Systems, IEEE Transactions on Automatic Control, 60(4), 1080-1086, 201504
- Finite-Horizon Dynamic Games for a Class of Nonlinear Stochastic Systems, Proceedings of the 54th IEEE Conference on Decision and Control, 519-524, 201512
- Finite Horizon H infinity Control for Stochastic Systems with Multiple Decision Makers, Proceedings of the 54th IEEE Conference on Decision and Control, 513-518, 201512
- Near Optimal Linear Quadratic Regulator for a Singularly Perturbed Linear Stochastic System with Multiplicative White Noise Perturbations and Markovian Jumping, Proceedings of the 54th IEEE Conference on Decision and Control, 7838-7843, 201512
- Dynamic Game Approach of H2/H∞ Control for Stochastic Discrete-Time Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E97A(11), 2200-2211, 201411
- H2/H∞ Control Problem for Stochastic Delay Systems with Multiple Decision Makers, Proceedings of the 53rd IEEE Conference on Decision and Control, 2648-2653, 201412
- Dynamic Games for Stochastic Systems with Delay, Asian Journal of Control, 15(5), 1251-1260, 201309
- Nash Strategy for Markov Jump Stochastic Delay Systems, Proceedings of the 52nd IEEE Conference on Decision and Control, 1198-1203, 201312
- The Linear Quadratic Regulator Problem for a Class of Controlled Systems Modeled by Singularly Perturbed Ito Differential Equations, SIAM Journal on Control and Optimization, 50(1), 448-470, 201202
- Nash Strategy for Multiparameter Singularly Perturbed Markov Jump Stochastic Systems, IET Control Theory & Applications, 6(14), 2337-2345, 201209
- Static Output Feedback H2/H∞ Control of Infinite Horizon Markov Jump Linear Stochastic Systems with Multiple Decision Makers, Proceedings of the 51st IEEE Conference on Decision and Control, 6003-6008, 201212
- Near-Optimal Control for Multiparameter Singularly Perturbed Stochastic Systems, Optimal Control Applications and Methods, 32(1), 113-125, 2011
- Local Feedback Pareto Strategy for Weakly Coupled Large-Scale Discrete-Time Stochastic Systems, IET Control Theory & Applications, 5(17), 2005-2014, 201111
- Guaranteed Cost PID Control for Uncertain Discrete-Time Stochastic Systems with Additive Gain Perturbations, Asian Journal of Control, 13(6), 1005-1017, 201111
- Stable Queue Management for Supporting TCP Flows over Wireless Networks, Proceedings of the IEEE International Conference on Communications, USB Memory, 201106
- Stabilizing Composite Control for Systems Modeled by Singularly Perturbed Ito Differential Equations with Two Small Time Constants, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 740-745, 201112
- Soft-Constrained Stochastic Nash Games for Weakly Coupled Large-Scale Discrete-time Systems, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 6394-6399, 201112
- Multi-Objective Decision-Making Problems for Discrete-Time Stochastic Systems with State- and Disturbance-Dependent Noise, Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 6388-6393, 2011
- Stochastic Optimal Control for Weakly Coupled Large-Scale Systems via State and Static Output Feedback, IET Control Theory & Applications, 4(9), 1849-1858, 201009
- A Numerical Computation of Linear Quadratic Dynamic Games for Stochastic Systems with State- and Control-Dependent Noise, Proceedings of the 49th IEEE Conference on Decision and Control, 4126-4131, 201012
- Stochastic Nash Games for Weakly Coupled Large Scale Discrete-Time Systems with State- and Control-Dependent Noise, Proceedings of the 49th IEEE Conference on Decision and Control, 1429-1435, 201012
- The Guaranteed Cost Control for Uncertain Nonlinear Large-Scale Stochastic Systems via State and Static Output Feedback, Journal of Mathematical Analysis and Applications, 359(2), 527-535, 20091115
- Near-Optimal Control for Singularly Perturbed Stochastic Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E92A(11), 2874-2882, 200911
- Robust Guaranteed Cost Control for Uncertain Stochastic Systems with Multiple Decision Makers, Automatica, 45(7), 1758-1764, 200907
- Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems With State Dependent System Noise, IEEE Transactions on Automatic Control, 54(9), 2244-2250, 200909
- Soft-Constrained Stochastic Nash Games for Weakly Coupled Large-Scale Systems, Automatica, 45(5), 1272-1279, 200905
- 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, 1(1), 112-158, 2009
- Guaranteed Cost Control for Uncertain Stochastic Systems with Multiple Decision Makers via Static Output Feedback, Proceedings of the 48th IEEE Conference on Decision and Control, 2917-2922, 200912
- Soft-Constrained Stochastic Nash Games for Multimodeling Systems via Static Output Feedback Strategy, Proceedings of the 48th IEEE Conference on Decision and Control, 5786-5791, 200912
- A Numerical Algorithm for Finding Solution of Cross-Coupled Algebraic Riccati Equations, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E91A(2), 682-685, 200802
- Numerical Computation for H∞ Output Feedback Control for Strongly Coupled Large-Scale Systems, Applied Mathematics and Computation, 197(1), 212-227, 20080315
- Numerical Solution of Stochastic Nash Games with State-Dependent Noise for Weakly Coupled Large-Scale Systems, Applied Mathematics and Computation, 197(2), 844-857, 20080401
- Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H∞-Constrained LQG Control Problem, Applied Mathematics and Computation, 199(2), 663-676, 20080601
- 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, E91A(10), 3022-3029, 200810
- Stochastic Pareto Near-Optimal Strategy for Weakly-Coupled Large-Scale Systems with Imperfect Local State Measurements, Proceedings of the 47th IEEE Conference on Decision and Control, 4293-4299, 200812
- Delay-Dependent Stability Analysis for Large-Scale Multiple-Bottleneck Systems using Singular Perturbation Approach, Proceedings of the IEEE Global Communications Conference, CD-ROM, 200812
- Numerical Computation of Sign Indefinite Linear Quadratic Differential Games for Weakly Coupled Large-Scale Systems, International Journal of Control, 80(1), 75-86, 200701
- A Numerical Algorithm for Finding solution of Sign-Indefinite Algebraic Riccati Equations for General Multiparameter Singularly Perturbed Systems, Applied Mathematics and Computation, 189(1), 255-270, 20070601
- Newton's Method for Solving Cross-Coupled Sign-Indefinite Algebraic Riccati Equations for Weakly Coupled Large-Scale Systems, Applied Mathematics and Computation, 188(1), 103-115, 20070501
- Efficient Numerical Procedures for Solving Closed-Loop Stackelberg Strategies with Small Singular Perturbation Parameter, Applied Mathematics and Computation, 188(2), 1173-1183, 20070515
- Stochastic H∞ Control Problem with State-Dependent Noise for Weakly Coupled Large-Scale Systems, IEEJ Transactions on Electrical and Electronic Engineering, 2(6), 571-578, 200711
- High-Order Approximation of Stochastic Linear Quadratic Control for Weakly-Coupled Large-Scale Systems, Proceedings of the 46th IEEE Conference on Decision and Control, 3654-3660, 200712
- Local Uniqueness for Nash Solutions of Multiparameter Singularly Perturbed Systems, IEEE Transactions on Circuits and Systems II: Express Briefs, 53(10), 1103-1107, 200610
- Optimal Numerical Strategy for Nash Games of Weakly Coupled Large-Scale Systems, Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms, 13(2), 249-268, 200604
- Recursive Approach of Optimal Kalman Filtering Problem for Multiparameter Singularly Perturbed Systems, International Journal of Systems Science, 36(1), 1-11, 20050115
- A New Design Approach for Solving Linear Quadratic Nash Games of Multiparameter Singularly Perturbed Systems, IEEE Transactions on Circuits and Systems I: Regular Papers, 52(5), 960-974, 200505
- A New Approach to Robust Guaranteed Cost Control for Uncertain Multimodeling Systems, Automatica, 41(6), 1055-1062, 200506
- Nash Games for Multiparameter Singularly Perturbed Systems with Uncertain Small Singular Perturbation Parameters, IEEE Transactions on Circuits and Systems II: Express Briefs, 52(9), 586-590, 200509
- A Numerical Analysis of the Nash Strategy for Weakly Coupled Large-Scale Systems, IEEE Transactions on Automatic Control, 51(8), 1371-1377, 200608
- Discussion on: ``An Algorithm for Solving a Perturbed Algebraic Riccati Equation’’, European Journal of Control, 10(6), 583-585, 200506
- Numerical Computation for H2 State Feedback Control of Large-Scale Systems, Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms, 12(2), 281-296, 200504
- Guaranteed Cost Control of Uncertain Singularly Perturbed Systems via Static Output Feedback, Proceedings of the 44th IEEE Conference on Decision and Control, 5576-5581, 200512
- LMI Based Neurocontroller for State-Feedback Guaranteed Cost Control of Discrete-Time Uncertain System, IEICE Transactions on Information and Systems, E88D(8), 1903-1911, 200508
- Numerical Computation of Cross-Coupled Algebraic Riccati Equations rRelated to H2/H∞ Control Problem for Singularly Perturbed Systems, International Journal of Robust and Nonlinear Control, 14(8), 697-717, 20040525
- An LMI Approach to Decentralized Guaranteed Cost Control for a Class of Uncertain Nonlinear Large-Scale Delay Systems, Journal of Mathematical Analysis and Applications, 300(1), 17-29, 20041201
- Recursive Computation of Nash Strategy for Multiparameter Singularly Perturbed Systems, Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms, 11(6), 673-700, 200412
- Nash Strategies for Large Scale Interconnected Systems, Proceedings of the 43rd IEEE Conference on Decision and Control, 4862-4867, 200412
- Near-Optimal Nash Strategy for Multiparameter Singularly Perturbed Systems, Proceedings of the 43rd IEEE Conference on Decision and Control, 4868-4873, 200412
- LMI Based Neurocontroller for Guaranteed Cost Control of Discrete-Time Uncertain System, Proceedings of the 43rd IEEE Conference on Decision and Control, 809-814, 200412
- Near-optimal Kalman filters for multiparameter singularly perturbed linear systems, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50(5), 717-721, 200305
- ★, An LMI Approach to Guaranteed Cost Control for Uncertain Delay Systems, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50(6), 795-800, 200306
- The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems, International Game Theory Review, 5(4), 361-374, 200304
- New Results for Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, Automatica, 39(12), 2157-2167, 200312
- Asymptotic Expansions and a New Numerical Algorithm of the Algebraic Riccati Equation for Multiparameter Singularly Perturbed Systems, Journal of Mathematical Analysis and Applications, 267(1), 209-234, 20020301
- Recursive Computation of Pareto Optimal Strategy for Multiparameter Singularly Perturbed Systems, Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms, 9(2), 175-200, 200206
- A Revised Kleinman Algorithm to Solve Algebraic Riccati Equation of Singularly Perturbed Systems, Automatica, 38(3), 553-558, 200203
- Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations Related to Nash Games of Multimodeling Systems, Proceedings of the 41st IEEE Conference on Decision and Control, 4167-4172, 200212
- Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, IEEE Transactions on Automatic Control, 47(12), 2051-2057, 200212
- H2 Guaranteed Cost Control Problem of Singularly Perturbed Systems with Uncertainties, International Journal of Systems Sciences, 32(11), 1333-1343, 200111
- ★, New Iterative Algorithm for Algebraic Riccati Equation Related to H∞ Control Problem of Singularly Perturbed Systems, IEEE Transactions on Automatic Control, 46(10), 1659-1666, 200101
- A New Method for H2 Guaranteed Cost Control Problem of Singularly Perturbed Uncertain Systems, Proceedings of the 40th IEEE Conference on Decision and Control, 3264-3266, 200112
- Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems, Journal of Mathematical Analysis and Applications, 251(2), 716-735, 200011
- Recursive Algorithm for Mixed H2/H∞ Control Problem of Singularly Perturbed Systems, International Journal of Systems Sciences, 31(10), 1299-1312, 200010
- Connection Between the Generalized Riccati Equations and the Standard Reduced-Order Riccati Equations, Dynamics of Continuous Discrete and Impulsive Systems Series B: Applications and Algorithms, 7(3), 441-453, 200009
- 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, 3648-3653, 200012
- The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems, Proceedings of the 39th IEEE Conference on Decision and Control, 3696-3701, 200012
- Recursive Approach of H∞ Control Problems for Singularly Perturbed Systems Under Perfect and Imperfect State Measurements, International Journal of Systems Sciences, 30(5), 467-477, 199905
- New Method for Composite Optimal Control of Singularly Perturbed Systems, International Journal of Systems Sciences, 28(2), 161-172, 199702
- On the Near-optimality of Composite Optimal Control for Nonstandard Singularly Perturbed Systems, Proceedings of the 35th IEEE Conference on Decision and Control, 3618-3619, 199612
Publications such as books
- 2019/02, Lecture Notes in Control and Information Sciences, In this paper, infinite horizon closed-loop Nash games for interconnected positive nonlinear systems with H-infinity constraint are investigated. The systems considered here are cooperative systems defined by [1] and the H-infinity control recovers the influence of modeling error caused by linearization. For this class of positive systems, we provide conditions that guarantee the existence of Nash equilibrium via state feedback strategy. These conditions can be formulated in terms of cross-coupled algebraic Riccati equations (CCAREs) and a linear matrix inequality (LMI)., Closed-Loop Nash Games for Interconnected Positive Nonlinear Systems with H-infinity Constraint, Positive systems, LMI, Springer, 2019, 02, Scholarly Book, Joint work, English, Hiroaki Mukaidani and Hua Xu, 978-3030043261, 333, 10, 215-224
- 2016/02, Recent Results on Time-Delay Systems, Dynamic games for a class of linear time-delay systems with Markovian jumping parameters are investigated. Both Nash games and Pareto optimization problems are considered for systems in which controls-dependent noise is included. Sufficient conditions for the existence of the Nash strategies and the Pareto strategies in terms of matrix inequality are established by using a classical Lyapunov-Krasovskii method and a non-convex optimization approach, respectively. In order to obtain the Nash strategy sets and the Pareto strategy sets, new cross-coupled stochastic algebraic equations (CSAEs) are derived respectively based on the Karush-Kuhn-Tucker (KKT) conditions. Furthermore, it is shown that the state feedback strategies can be obtained by iteratively solving linear matrix inequalities (LMIs). Finally, a modified practical numerical example is given to demonstrate the validity and potential of the proposed numerical method., Dynamic Games for Markov Jump Stochastic Delay Systems, Delay, Markov jump, Springer, 2016, 2, Scholarly Book, Cocompilation, English, Hiroaki Mukaidani, Hua Xu and Vasile Dragan, 978-3319263670, B01BD8622C, 330, 20, 207-227
- 2011, Handbook of Optimization Theory, This paper provides a novel design method in the case of an output feedback suboptimal control problem for a class of uncertain discrete-time system using additive gain perturbations. Based on the linear matrix inequality (LMI), a class of the fixed output feedback controller is established, and some sufficient conditions for the existence of the suboptimal controller are derived. The novel contribution is that time-variant additive gain perturbations are included in the feedback systems. Although the additive gain perturbations work using the feedback systems, both stability of closed-loop systems and adequate suboptimal cost are attained. The numerical example emonstrates that the large cost due to the LMI design can be reduced by using additive gain perturbations., Robust Static and Dynamic Output Feedback Suboptimal Control of Uncertain Discrete-Time Systems Using Additive Gain Perturbations, Nova Science Publishers, Inc., 2011, Scholarly Book, Cocompilation, English, Mukaidani, Hiroaki; Ishii, Yasuhisa; Tanaka, Yoshiyuki; Tsuji, Toshio, 978-1-60876-500-3, 631, 20, pp.387-406
- 2011, Handbook of Optimization Theory, In this paper, the linear quadratic infinite horizon Nash games for large-scale singularly perturbed stochastic systems (LSPSS) are studied. After establishing the local uniqueness and the asymptotic structure of the solutions to the cross-coupled large-scale stochastic algebraic Riccati equation (CLSARE), a new algorithm on the basis of the Newton's method is established. It is shown that the quadratic convergence of the proposed method under an appropriate initial guess is guaranteed by using this structure of the solutions. Furthermore, in order to avoid the large dimensional computations of matrix calculation, the fixed point iterations are also given. As a result, the results obtained in this paper represent very powerful tools for simplified computations with the high-order accuracy. The computational examples are given to demonstrate the efficiency and feasibility of the proposed algorithm. , Numerical Computation for Solving Cross-Coupled Large-Scale Singularly Perturbed Stochastic Algebraic Riccati Equation, Nova Science Publishers, Inc., 2011, Scholarly Book, Cocompilation, English, Mukaidani, Hiroaki; Dragan, Vasile, 978-1-60876-500-3, 631, 18, pp.407-424
- 2005, Advances in Dynamic Games, Annals of the International Society of Dynamic Games Volume 7, In this paper, we study the linear quadratic Nash games for infinite horizon singularly perturbed systems (SPS). In order to solve the generalized algebraic Lyapunov equation (GALE) corresponding to the generalized Lyapunov iterations, we propose a new algorithm which is based on the fixed point iterations. Furthermore, we also propose a new algorithm which is based on the Kleinman algorithm for solving the generalized cross-coupled algebraic Riccati equations (GCARE). It is shown that the resulting algorithm guarantees the quadratic convergence., Numerical Algorithm for Solving Cross-Coupled Algebraic Riccati Equations of Singularly Perturbed Systems, Singularly perturbed systems (SPS), Linear quadratic Nash games, Generalized cross-coupled algebraic Riccati equations GCARE), Generalized Lyapunov iterations, Kleinman algorithm, Birkhauser, 2005, Scholarly Book, Cocompilation, English, Mukaidani, Hiroaki; Xu, Hua; Mizukami, Koichi, 978-0-8176-4362-1, 679, 26, pp.545-507
- 2003, ICM Millennium Lectures on Games, We study linear quadratic Nash games for infinite horizon multiparameter singularly perturbed systems (MSPS). We propose a new algorithm which is based on the Kleinman algorithm for solving the generalized cross-coupled multiparameter algebraic Riccati equations (GCMARE). It is shown that the resulting algorithm guarantees quadratic convergence. Simulation results show that the proposed algorithm succeeds in dramatically improving the convergence rate compared with previous results., Numerical Algorithm for Solving Cross-Coupled Multiparameter Algebraic Riccati Equations of Multimodeling Systems Related to Nash Games, Multiparameter singularly perturbed systems (MSPS), Linear quadratic Nash games, Generalized cross-coupled multiparameter algebraic Riccati equations (GCMARE), Kleinman algorithm, Springer, 2003, Scholarly Book, Cocompilation, English, Hiroaki, Mukaidani; Tetsu, Shimomura; Hua, Xu, 978-3-642-05618-5, 416, 13, pp.359-371
Invited Lecture, Oral Presentation, Poster Presentation
- Robust Nash Equilibrium Strategy for Uncertain Markov Jump Linear Stochastic Systems, Hiroaki Mukaidani, Meeting on System Theory in Shandong University of Science and Technology, 2017/09/26, With Invitation, English, College of Electrical Engineering and Automation,
Shandong University of Science and Technology,, Qingdao, Chaina, In this seminar, a novel delta-neighborhood robust Nash equilibrium strategy with disturbance attenuation for uncertain Markov jump linear stochastic systems (UMJLSSs) involving multiple decision makers is investigated. The Stackelberg game concept for the UMJLSSs is introduced to derive the hierarchical strategy set. Exploiting the theory of guaranteed cost control, the sufficient conditions such that the stochastic system is exponentially mean square stable (EMSS) and has a cost bound are established by the stochastic algebraic Riccati inequality (SARI). The optimization problem of the cost bound for a given cost function is described and it is shown that the necessary conditions based on the Karush-Kuhn-Tucker (KKT) conditions can be established by the set of cross-coupled stochastic algebraic Riccati equations (CCSAREs). Furthermore, to avoid the complex calculation for solving SARI and CCSAREs, an iterative numerical algorithm is proposed. Finally, a numerical example demonstrates the advantages and generalization of our existing results., preprint