Hiroaki Mukaidani

Last Updated :2021/04/06

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
  • 【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

  • Integrated Arts and Sciences

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

  1. 2021, Liberal Arts Education Program1, 1Term, Elements of Calculus
  2. 2021, Liberal Arts Education Program1, 2Term, CalculusI
  3. 2021, Liberal Arts Education Program1, 3Term, CalculusII
  4. 2021, Undergraduate Education, 3Term, System Optimization
  5. 2021, Undergraduate Education, 1Term, Differential Equations
  6. 2021, Undergraduate Education, Intensive, Education Policy and Data Analysis
  7. 2021, Graduate Education (Master's Program) , 1Term, Special Exercises on Informatics and Data Science A
  8. 2021, Graduate Education (Master's Program) , 2Term, Special Exercises on Informatics and Data Science A
  9. 2021, Graduate Education (Master's Program) , 3Term, Special Exercises on Informatics and Data Science B
  10. 2021, Graduate Education (Master's Program) , 4Term, Special Exercises on Informatics and Data Science B
  11. 2021, Graduate Education (Master's Program) , Academic Year, Special Study on Informatics and Data Science
  12. 2021, Graduate Education (Doctoral Program) , Academic Year, Special Study on Informatics and Data Science

Research Activities

Academic Papers

  1. Robust incentive Stackelberg strategy for Markov jump linear stochastic systems via static output feedback, IET CONTROL THEORY AND APPLICATIONS, 14(9), 1246-1254, 20200611
  2. ★, Incentive Stackelberg Games for Stochastic Linear Systems With H-infinity Constraint, IEEE TRANSACTIONS ON CYBERNETICS, 49(4), 1463-1474, 201904
  3. Robust Incentive Stackelberg Games for Stochastic LPV Systems, Proceedings of the 57th IEEE Conference on Decision and Control, 1059-1064, 201812
  4. 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
  5. 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
  6. 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
  7. H-infinity Constraint Pareto Optimal Strategy for Stochastic LPV Systems, INTERNATIONAL GAME THEORY REVIEW, 20(2), 201806
  8. 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
  9. Differential Games for Weakly Coupled Large-Scale Linear Stochastic Systems with an H-infinity-Constraint, INTERNATIONAL GAME THEORY REVIEW, 20(1), 201803
  10. H-infinity-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers, IET CONTROL THEORY AND APPLICATIONS, 11(15), 2475-2485, 201710
  11. A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, IEEE Control Systems Letters, 1(2), 250-255, 201710
  12. Open-Loop Stackelberg Games for Stochastic Systems, IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, E100A(4), 989-995, 201704
  13. 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
  14. Infinite horizon linear-quadratic Stackelberg games for discrete-time stochastic systems, AUTOMATICA, 76, 301-308, 201702
  15. 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
  16. 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
  17. Finite-Horizon Dynamic Games for a Class of Nonlinear Stochastic Systems, Proceedings of the 54th IEEE Conference on Decision and Control, 519-524, 201512
  18. 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
  19. 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
  20. ★, Decentralized H2 Control for Multi-Channel Stochastic Systems, IEEE Transactions on Automatic Control, 60(4), 1080-1086, 201504
  21. ★, Stackelberg Strategies for Stochastic Systems with Multiple Followers, Automatica, 53, 53-59, 201503
  22. 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
  23. 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
  24. Nash Strategy for Markov Jump Stochastic Delay Systems, Proceedings of the 52nd IEEE Conference on Decision and Control, 1198-1203, 201312
  25. Dynamic Games for Stochastic Systems with Delay, Asian Journal of Control, 15(5), 1251-1260, 201309
  26. 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
  27. Nash Strategy for Multiparameter Singularly Perturbed Markov Jump Stochastic Systems, IET Control Theory & Applications, 6(14), 2337-2345, 201209
  28. 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
  29. 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
  30. 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
  31. Local Feedback Pareto Strategy for Weakly Coupled Large-Scale Discrete-Time Stochastic Systems, IET Control Theory & Applications, 5(17), 2005-2014, 201111
  32. Guaranteed Cost PID Control for Uncertain Discrete-Time Stochastic Systems with Additive Gain Perturbations, Asian Journal of Control, 13(6), 1005-1017, 201111
  33. Stable Queue Management for Supporting TCP Flows over Wireless Networks, Proceedings of the IEEE International Conference on Communications, USB Memory, 201106
  34. Near-Optimal Control for Multiparameter Singularly Perturbed Stochastic Systems, Optimal Control Applications and Methods, 32(1), 113-125, 2011
  35. 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
  36. 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
  37. 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
  38. Stochastic Optimal Control for Weakly Coupled Large-Scale Systems via State and Static Output Feedback, IET Control Theory & Applications, 4(9), 1849-1858, 201009
  39. 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
  40. 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
  41. 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
  42. Near-Optimal Control for Singularly Perturbed Stochastic Systems, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E92A(11), 2874-2882, 200911
  43. 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
  44. Robust Guaranteed Cost Control for Uncertain Stochastic Systems with Multiple Decision Makers, Automatica, 45(7), 1758-1764, 200907
  45. Soft-Constrained Stochastic Nash Games for Weakly Coupled Large-Scale Systems, Automatica, 45(5), 1272-1279, 200905
  46. 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
  47. Delay-Dependent Stability Analysis for Large-Scale Multiple-Bottleneck Systems using Singular Perturbation Approach, Proceedings of the IEEE Global Communications Conference, CD-ROM, 200812
  48. 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
  49. 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
  50. Numerical Computation of Cross-Coupled Algebraic Riccati Equations Related to H∞-Constrained LQG Control Problem, Applied Mathematics and Computation, 199(2), 663-676, 20080601
  51. 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
  52. Numerical Computation for H∞ Output Feedback Control for Strongly Coupled Large-Scale Systems, Applied Mathematics and Computation, 197(1), 212-227, 20080315
  53. 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
  54. 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
  55. 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
  56. 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
  57. Efficient Numerical Procedures for Solving Closed-Loop Stackelberg Strategies with Small Singular Perturbation Parameter, Applied Mathematics and Computation, 188(2), 1173-1183, 20070515
  58. 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
  59. Numerical Computation of Sign Indefinite Linear Quadratic Differential Games for Weakly Coupled Large-Scale Systems, International Journal of Control, 80(1), 75-86, 200701
  60. Local Uniqueness for Nash Solutions of Multiparameter Singularly Perturbed Systems, IEEE Transactions on Circuits and Systems II: Express Briefs, 53(10), 1103-1107, 200610
  61. 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
  62. A Numerical Analysis of the Nash Strategy for Weakly Coupled Large-Scale Systems, IEEE Transactions on Automatic Control, 51(8), 1371-1377, 200608
  63. 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
  64. 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
  65. 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
  66. A New Approach to Robust Guaranteed Cost Control for Uncertain Multimodeling Systems, Automatica, 41(6), 1055-1062, 200506
  67. Discussion on: ``An Algorithm for Solving a Perturbed Algebraic Riccati Equation’’, European Journal of Control, 10(6), 583-585, 200506
  68. 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
  69. 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
  70. Recursive Approach of Optimal Kalman Filtering Problem for Multiparameter Singularly Perturbed Systems, International Journal of Systems Science, 36(1), 1-11, 20050115
  71. 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
  72. 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
  73. Nash Strategies for Large Scale Interconnected Systems, Proceedings of the 43rd IEEE Conference on Decision and Control, 4862-4867, 200412
  74. Near-Optimal Nash Strategy for Multiparameter Singularly Perturbed Systems, Proceedings of the 43rd IEEE Conference on Decision and Control, 4868-4873, 200412
  75. 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
  76. 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
  77. New Results for Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, Automatica, 39(12), 2157-2167, 200312
  78. ★, 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
  79. 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
  80. The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems, International Game Theory Review, 5(4), 361-374, 200304
  81. Near-Optimal Control of Linear Multiparameter Singularly Perturbed Systems, IEEE Transactions on Automatic Control, 47(12), 2051-2057, 200212
  82. 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
  83. 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
  84. 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
  85. A Revised Kleinman Algorithm to Solve Algebraic Riccati Equation of Singularly Perturbed Systems, Automatica, 38(3), 553-558, 200203
  86. 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
  87. H2 Guaranteed Cost Control Problem of Singularly Perturbed Systems with Uncertainties, International Journal of Systems Sciences, 32(11), 1333-1343, 200111
  88. ★, 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
  89. 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
  90. The Linear Quadratic Dynamic Game for Discrete-Time Descriptor Systems, Proceedings of the 39th IEEE Conference on Decision and Control, 3696-3701, 200012
  91. Guaranteed Cost Control Problem of Uncertain Singularly Perturbed Systems, Journal of Mathematical Analysis and Applications, 251(2), 716-735, 200011
  92. Recursive Algorithm for Mixed H2/H∞ Control Problem of Singularly Perturbed Systems, International Journal of Systems Sciences, 31(10), 1299-1312, 200010
  93. 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
  94. 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
  95. New Method for Composite Optimal Control of Singularly Perturbed Systems, International Journal of Systems Sciences, 28(2), 161-172, 199702
  96. 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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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

  1. 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