Adaptive Finite-time Stability For A Class Of Switched Nonlinear Systems

Switched systems are an important class of hybrid systems.It consists of several finite subsystems and switching signals who coordinate the switching between subsystems.With the rapid development of intelligent control in recent years,adaptive switched systems have important applications in advanced science and technology fields such as mechanical automation,robotics,and artificial intelligence.This paper analyses the adaptive finite-time stability for a class of nonlinear switched systems.The main contents are as follows:In chapter 1,we introduce research background and general situation of this paper.We summariz the main research problems and processing methods of the switched system and adaptive control,and introduc the main content of this paper.In chapter 2,we study the adaptive finite-time stability problem for a class of non-linear switched systems under arbitrary switching laws.By constructing a common Lya-punov function and approximating the unknown function with a neural network sys-tem,we obtain the sufficient conditions ensuring the adaptive finite-time stability for the switched systems.In chapter 3,we study the adaptive finite-time stability problem for a class of non-linear switched systems under certain switching laws.By convex combination method,single Lyapunov fuction method and neural network function we obtain the sufficient conditions which guarantee the adaptive finite-time stability of such systems.In chapter 4,we study the adaptive finite-time stability problem for a.class of non-linear switched systems by using multiple-Lyapunov function method.By using multiple-Lyapunov function method,we obtain the sufficient conditions which ensure the adaptive finite-time stability of the switch systems.