N-player Noncooporative Differential Games Based on the Thought of T-S Fuzzy Modeling
Xin Wang · Jisuanji fangzhen · 2009
N-player differential game has always been a difficult point in the research field of differential games.If the state equations and payoff fucntion of differential games are nonlinear,the research methods are Max-Min principle and Variational method,which anavoidably need to solve the Hamilton-Jacobi partial differential equations, and that is very difficult.In view of the problem of the N-player differential games of nonlinear system, based on the thought of T-S fuzzy modeling,the nonlinear system has been translated into many linear subsystems. Then,a model of N-player noncooporative differential games has been established.A simulation for 4-player noncooporative Differential games has been made and its results has illuminated the feasibility of the scheme.