Input-to-State Stability of Switched Nonlinear Systems

Authors:	Feng Wei, Chinese Academy of Sciences, China Zhang Ji-Feng, Chinese Academy of Sciences, China
Topic:	2.3 Non-Linear Control Systems
Session:	Input-to-State Stability and Passivity
Keywords:	Switched system, input-to-state stability, Lyapunov function, dwell-time

Abstract

The input-to-state stability (ISS) problem is studied for switched systems withinfinite subsystems. By the method of multiple Lyapunov function, a sufficient ISScondition is given based on a quantitative relation of the input and the valuesof the Lyapunov functions of the subsystems before and after the switchinginstants. In terms of the average dwell-time of the switching laws, somesufficient ISS conditions are obtained for switched nonlinear systems andswitched linear systems, respectively.