| The switched system is a class of important hybrid system with practical significance,which consists of limited subsystems and switching signals.The properties of the switched system are more abundant.than a single system.For example,when the subsystem is unstable,the switched system may be stable;and when the subsystem is stable,the switched system may be unstable.In recent years,towards switched system,its stability,interference suppression,robust performance,adaptive control and other problems have been paid great attention.There are relatively less achievements in singular switched systems.This is due to the interaction of switching signals,subsystems and algebraic constraints,making the problem complicated.This paper studies a class of singular cascades.The finite time stability problem of switched systems is arranged as follows.In the first chapter,we introduce the research status of switched system,and point out the structure of this paper.In the second chapter,based on the single Lyapunov function method,the finite-time stability of a class of singular cascaded switched systems is studied.By constructing appropriate switching signals,the sufficient conditions for the finite-time stability of this kind of systems are obtained.In the third chapter,based on the single Lyapunov function method,the finite-time stability of a class of singular cascaded switched systems is studied.By designing the controllers of the subsystems and constructing the appropriate switching signals,the sufficient conditions for the finite-time stability of this kind of systems are obtained.In the fourth chapter,in the case of external interference,the finite-time bounded problem of a singular cascade switched system is studied.Based on the multi Lyapunov function method,a proper controller and a switching signal are designed to obtain suffi-cient conditions for the finite-time bounded situation of this kind of system.The fifth chapter is the conclusion of this paper. |
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