Stability Analysis Of Switched Systems And Optimal Control

We study the exponential stability of a class of nonlinear switching systems and the asymptotical stability of a class of nonlinear switching systems with time-delay using the Karush-Kuhn-Tucker (KKT) condition for nonlinear optimal programming problems. Next, basing on the theory of invariant sets, we discuss the existence of the linear Lya-punov functions for a class of discrete-time linear switching systems. At last, we consider the robust optimal switched control problem for a class of linear systems, and find the optimal strategy by using the theory of viscosity solutions. This paper is organized as follows.1. Exponential stability of nonlinear switching systems2.Asymptotical stability of nonlinear switching systems with time-delay3.Linear Lyapunov function of a class of discrete-time linear switching systems4.Robust optimal switching control for a class of linear systems...