Exponential Stability Of A Class Of Switched Nonlinear Systems With Time-delay

Switched systems are a special class of hybrid systems, which are controlled by a family of continuous time subsystems or discrete time subsystems and a switching law.Atpresent,the switched systems research has become a hot problem in the modern control theory and obtained the certain research results.Because the time delay and nonlinear perturbation system are prevalent, therefore, the study of the system with nonlinearperturbation and time delay has great theoretical and practical valuein the actual.Inthis paper we study the exponential stability of threekinds of nonlinear switched systems, the exponential stability of a class of switched nonlinear systems with time-delay, the exponential stability of the multi-time vary delaysswitched system with nonlinear perturbation, the exponential stability of timedelay and hybridswitched system with nonlinear perturbation.By using the average dwell time method, Lyapunov function theory and integral inequality method, we choose an appropriate Lyapunov-krasovskii function and obtainless conservative criteria of stability which is given in terms of linear matrix inequalities.In the first chapter, we introduce the switched systems and record the development of switched systems, and give the system model and the main content of this paper. In the second chapter, by choosing an appropriate Lyapunov-Krasovskii function and using the average dwell time method and integral inequalities method, we study exponential stability of switched systemswith nonlinear perturbation, givethe conditions of exponential stability, these conditionscan linear matrix inequalities. Basedonthe study in the second chapter,we consider the systems with the mixed state in the third chapter and choose more complex Lyapunov-Krasovskii function to get the conditions for the exponential stability. In the fourth chapter, we study theexponential stability of switched systemswith nonlinear multi- delay.