Stochastic Game Strategies and their Applications

Cover
Half Title
Title Page
Copyright Page
Table of Contents
Preface
About the Author
Part I: General Theory of Stochastic Games
	1. Introduction
		1.1 Review of the Stochastic Games
		1.2 The Scope of the Book
		1.3 Conclusion
	2. Introduction to Multi-player Stochastic Games in Linear
Stochastic Systems
		2.1 Introduction
		2.2 Stochastic Multi-Player H∞ Noncooperative Game Strategy in Linear Stochastic Systems
		2.3 Suboptimal Method for Multi-Player Noncooperative H∞ Game Strategy Design of Linear Stochastic Systems
		2.4 Stochastic Multi-Player H2 Noncooperative Game Strategy in Linear Stochastic Systems
		2.5 Stochastic Multi-Player Stochastic H∞ Cooperative Game Strategy in Linear Stochastic Systems
		2.6 Stochastic Multi-Player H2 Cooperative Game Strategy in Linear Stochastic Systems
		2.7 Conclusion
	3. Introduction to Multi-player Stochastic Games in Nonlinear
Stochastic Systems
		3.1 Introduction
		3.2 Stochastic Multi-Player Noncooperative H∞ Game Strategy in Nonlinear Stochastic Systems
		3.3 Multi-Player Noncooperative H2 Game Strategy in Nonlinear Stochastic
Systems without External Disturbance
		3.4 Stochastic M-Player Cooperative H∞ Game Strategy in Nonlinear Stochastic Systems
		3.5 Stochastic Multiplayer Cooperative H2 Game Strategy in the Nonlinear
Stochastic Systems without External Disturbance
		3.6 Conclusion
Part II: Stochastic Game Strategies in Control System Designs
	4. Robust Adaptive Tracking Control Design of Robot Systems
under Parameter Perturbation and External Disturbance: A Minimax
H∞ Dynamic Game Approach
		4.1 Introduction
		4.2 Nonlinear Dynamics of Robotic Systems with External Disturbance
		4.3 Adaptive Minimax H∞ Game Tracking Control Design Problem in Robotic Systems
		4.4 Minimax H∞ Game Tracking Control of Robotic Systems via Adaptive Fuzzy Cancelation Scheme
		4.5 Design Example
		4.6 Conclusion
	5. A Robust Adaptive Tracking Control Design Based on Minimax H∞
Game Strategy for Wheeled Vehicles with Trailer
		5.1 Introduction
		5.2 Dynamic Model of the Wheeled Mobile Robot
		5.3 ADescription of Fuzzy Adaptive System
		5.4 Minimax H∞ Game Tracking Control of Mobile Robot Systems via
Adaptive Fuzzy Cancellation Scheme
		5.5 Design Procedure
		5.6 Simulation Example
		5.7 Conclusion
		5.8 Appendix
	6. Stochastic Nash Game Approach to Stochastic H2/H∞ Robust Control
Design for Linear Systems with State-Dependent Wiener Noise and
External Disturbance
		6.1 Introduction
		6.2 System Descriptions and Preliminaries
		6.3 Stochastic Nash Game Approach to Infinite Horizon Stochastic
H2=H∞ Control
		6.4 Stochastic Nash Game Approach to Finite Horizon Stochastic
H2=H∞ Control
		6.5 Stochastic Nash Game to Observer-Based Design for Stochastic
H2=H∞ Control
		6.6 Conclusion
		6.7 Appendix
	7. Fuzzy Multi-player Stochastic Noncooperative and Cooperative
H2 Game Strategies for Nonlinear Stochastic Observer-based
Control Systems
		7.1 Introduction
		7.2 Problem Description
		7.3 Stochastic H2 Games via Combined Fuzzy Observer and Control
		7.4 Simulation Design Examples
		7.5 Conclusion
	8. Stochastic Noncooperative and Cooperative Multi-player H∞ Game
Strategy Design for Nonlinear Stochastic Jump Diffusion Control
Systems with External Disturbance
		8.1 Introduction
		8.2 Description of N-Player NonCooperative Stochastic H∞ Game in Nonlinear Stochastic Jump Diffusion System
		8.3 N-Player Noncooperative Stochastic H∞ Game Strategy Design of
N Players
		8.4 N-Player Cooperative Stochastic H∞ Game Strategy Design
		8.5 N-Player Noncooperative Stochastic H∞ Game Strategy Design Based on
Fuzzy Interpolation Methods
		8.6 N-Player Cooperative Stochastic H∞ Game Strategy Design Based on
Fuzzy Interpolation Methods
		8.7 Simulation Example
		8.8 Conclusion
		8.9 Appendix
Part III: Stochastic Game Strategies in Signal Processing and Communication
	9. Robust Design of Deconvolution Filters in Signal Transmission Systems under Stochastic Parametric and Noise Uncertainties: Stochastic Game Approach
		9.1 Introduction
		9.2 System Description of Deconvolution Filter
		9.3 The Optimal Deconvolution Filter Design under Exactly Known Statistics
		9.4 Fixed-Point Minimax Deconvolution Filter Design Based on Stochastic Game
		9.5 Time-interval minimax deconvolution filter based on stochastic game under general uncertain case
		9.6 Steady-state minimax deconvolution filters based on stochastic game under stationary uncertain case
		9.7 Numerical Example
		9.8 Conclusion
		9.9 Appendix
	10. Robust Equalizer Designs via Minimax Stochastic Quadratic Game Approach for MIMO Wireless Communications with Time-Varying Uncertain Channel
		10.1 Introduction
		10.2 System Model of Wireless Communication
		10.3 Problem Formulation of Robust Equalizer Based on Minimax Stochastic Quadratic Game
		10.4 Minimax Stochastic Quadratic (H2) Game Equalizer Design
		10.5 Performance Evolution of Minimax Quadratic Game Equalizer
		10.6 Conclusion
		10.7 Appendix
	11. Min-max l2 Game Approach to Robust Sensor Location
Estimation Problem in Wireless Sensor Networks
		11.1 Introduction
		11.2 Related Sensor Location Estimation Works
		11.3 Problem Description
		11.4 Formulation of Robust Sensor Location Estimation Problem in WSNs as aMinimax L2 Game Problem
		11.5 Simulation Examples
		11.6 Conclusion
Part IV: Stochastic Game Strategies in Management and Financial Systems
	12. Stochastic H∞ Game Approach to Robust Resource Management
Control for CO2 Emission and Reduction of Greenhouse Effect
		12.1 Introduction
		12.2 Nonlinear Stochastic Dynamical Model of CO2 Emission System under Random Parametric Fluctuation and External Disturbance
		12.3 Robust Minimax H∞ Game Tracking Control of the Stochastic CO2 Emission System via Fuzzy Interpolation Method
		12.4 Computational Simulation Example
		12.5 Discussion
		12.6 Conclusions
		12.7 Appendix
	13. Noncooperative and Cooperative Energy Management Strategy of Smart Power Network
		13.1 Introduction
		13.2 System Description of Dynamic Energy Transfer System in Smart Grid Network
		13.3 The Noncooperative H∞ Management Strategy Design for Dynamic
Energy Transfer System in the Smart Grid Network
		13.4 LMIs-constrained MOEA Algorithm for Noncooperative H∞
Management Strategy in Smart Grid Network
		13.5 The Cooperative H∞ Management Strategy Design for the Dynamic
Energy Transfer System in Smart Grid Network
		13.6 Simulation Results
		13.7 Conclusions
		13.8 Appendix
	14. Robust Model Reference Investment Strategy of Nonlinear Stochastic Financial Systems: Stochastic H∞ Game Approach
		14.1 Introduction
		14.2 System Description of Stochastic Economic and Financial Systems
		14.3 Robust Model Reference H∞ Investment Strategy for Nonlinear
Stochastic Financial Systems
		14.4 Robust H∞ Model Reference Investment Game Strategy through Global
Linearization Scheme
		14.5 Simulation Examples
		14.6 Conclusion
		14.7 Appendix
	15. Multi-Person Noncooperative H∞ Stochastic Game Strategy of Stochastic Financial Systems with Random Fluctuations: Multiobjective Optimization Approach
		15.1 Introduction
		15.2 System Description of Nonlinear Stochastic Financial System and Multi-Person Noncooperative Stochastic H∞ Game for Investment Strategy
		15.3 Noncooperative Stochastic H∞ Game Strategies for Nonlinear Stochastic Financial Systems
		15.4 Solution of Noncooperative Stochastic H∞ Game Strategies for Nonlinear Stochastic Financial Systems
		15.5 LMIs-constrained MOEA Algorithm for Noncooperative Stochastic H∞ Game Strategies of Nonlinear Stochastic Financial System
		15.6 Simulation Examples
		15.7 Conclusions
		15.8 Appendix
Part V: Stochastic Game Strategies in Biological Systems
	16. Robust Reference Therapeutic Control of Immune Systems under Environmental Disturbances via Dynamic H∞ Game Strategy
		16.1 Introduction
		16.2 Nonlinear Dynamic Model of Immune Response to Infectious Disease
		16.3 Robust H∞ Nonlinear Therapeutic Control of Immune Response by Nonlinear Dynamic H∞ Game Strategy
		16.4 Robust H∞ Reference Matching Therapeutic Control of Innate Immune System via Fuzzy Dynamic H∞ Game Method
		16.5 Computational Examples
		16.6 Discussion
		16.7 Conclusion
		16.8 Appendix
	17. Robust Synthetic Genetic Circuit Design: Stochastic H∞ Game Approach
		17.1 Introduction
		17.2 Systems and Robust Synthetic Gene Circuit Design Methods
		17.3 Results of Minimax Stochastic H∞ Synthetic Gene Networks
		17.4 Discussion and Conclusion
		17.5 Appendix
	18. On the Natural Selection Strategy in Stochastic H∞ Evolutionary Game of aPopulation of Biological Networks
		18.1 Introduction
		18.2 The Stochastic Minimax H∞ Evolutionary Game of the Linear Biological Network under Natural Selection
		18.3 The Stochastic Minimax H∞ Evolutionary Game Strategy of Nonlinear Biological Network
		18.4 The Minimax Stochastic H∞ Evolutionary Game Strategy of the Nonlinear Stochastic Biological Network Based on the Global Linearization Method
		18.5 Simulation Example
		18.6 Discussion
		18.7 Conclusion
		18.8 Appendix
	19. On the Nonlinear Stochastic H∞ Game Strategy of Evolutionary Biological Network in Carcinogenic Process
		19.1 Introduction
		19.2 Stochastic Biological Network of Organ in the Carcinogenic Process
		19.3 Natural Selection Scheme in Carcinogenic Process
		19.4 Stochastic H∞ Game Strategy of Linear Evolutionary Biological Network in Carcinogenesis
		19.5 Stochastic H∞ Evolutionary Game Strategy of Nonlinear Biological Network in Carcinogenesis
		19.6 The Stochastic H∞ Evolutionary Game of Nonlinear Cancer-Associated Network in Carcinogenesis
		19.7 Simulation Result
		19.8 Discussion
		19.9 Conclusion
		19.10 Appendix
	20. Noncooperative and Cooperative Stochastic H∞ Evolutionary Game Strategies of aPopulation of Evolutionary Biological Networks
		20.1 Introduction
		20.2 Noncooperative Stochastic H∞ Evolutionary Game for Stochastic Biological Networks
		20.3 Cooperative Stochastic H∞ Evolutionary Game Strategy for Stochastic Biological Networks
		20.4 Computer Simulation Example
		20.5 Discussions and Conclusions
References
Index