Description
Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making problems, which are stimulated by a vast number of applications. This book addresses the gap to discuss general stochastic n-person noncooperative and cooperative game theory with wide applications to control systems, signal processing systems, communication systems, managements, financial systems, and biological systems. H∞ game strategy, n-person cooperative and noncooperative game strategy are discussed for linear and nonlinear stochastic systems along with some computational algorithms developed to efficiently solve these game strategies.
Table of Contents
Part I: General Theory of Stochastic Games
Chapter 1: Introduction
Chapter 2: Introduction to Stochastic Games in Linear Stochastic Systems
Chapter 3 Introduction to Stochastic Games in Nonlinear Stochastic Systems
Part II: Stochastic Game Strategies in Control System Designs
Chapter 4: Robust Adaptive Tracking Control Design of Robot Systems under Parameter Perturbation and External Disturbance: A Minimax H∞ Dynamic Game Approach
Chapter 5: A Robust Adaptive H∞ Tracking Control Design Based on Minimax H∞ Game for Wheeled Vehicles with Trailer
Chapter 6: Stochastic Nash Game Approach to Stochastic H2/H∞ Robust Control Design for Linear Systems with State-Dependent Wiener Noise and External Disturbance
Chapter 7: Fuzzy multi-player Stochastic Noncooperative and Cooperative H2 Game Strategies for Nonlinear Stochastic Observer-based Control Systems
Chapter 8: Stochastic Non-cooperative and Cooperative Multi-player H∞ Game Strategy Design for Nonlinear Stochastic Jump Diffusion Control Systems with External Disturbance
Part III: Stochastic Game Strategies in Signaling Processing and Communication
Chapter 9: Robust Design of Deconvolution Filters in Signal Transmission Systems under Stochastic Parametric and Noise Uncertainties: Stochastic Game Approach
Chapter 10: Robust Equalizer Designs via Minimax Stochastic quadratic H2 Game Approach for MIMO Wireless Communications With Time-Varying Uncertain Channel
Chapter 11: Min-max l2 Game Approach to Robust Relative Location Estimation Problem in Wireless Sensor Networks
Part IV: Stochastic Game Strategies in Management and Financial Systems
Chapter 12: Stochastic H∞ Game Approach to Robust Resource Management Control for CO2 Emission and Reduction of Greenhouse Effect
Chapter 13: Noncooperative and Cooperative Energy Management Strategy of Smart Power Network
Chapter 14: Robust Model Reference Investment Strategy of Nonlinear Stochastic Financial Systems: Stochastic H∞ Game Approach
Chapter 15: Multi-person Noncooperative H∞ Stochastic Game Strategy of Stochastic Financial Systems with Random Fluctuations: Multiobjective Optimization Approach
Part V: Stochastic Game Strategies in Biological Systems
Chapter 16: Robust Reference Therapeutic Control of Immune Systems under Environmental Disturbances via Dynamic H∞ Game Strategy
Chapter 17: Robust Synthetic Genetic Circuit Design: Stochastic H∞ Game Approach
Chapter 18: On the Natural Selection Strategy in Stochastic H∞ Evolutionary Game of a Population of Biological Networks
Chapter 19: On the Nonlinear Stochastic H∞ Game Strategy of Evolutionary Biological Network in Carcinogenic Process
Chapter 20: Noncooperative and Cooperative Stochastic H∞ Evolutionary Game Strategies of a Population of Evolutionary Biological Networks
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