Stability analysis of switched delay systems with all unstable subsystems under the dwell time constraints

Abstract

This paper studies the stability issue of a class of switched continuous-time systems with time-varying delays, in which all the subsystems are allowed to be unstable. Firstly, by using multiple Lyapunov-Krasovskii functional method, the stability criteria for nonlinear switched delay systems with dwell time switching are established. Then, by constructing the novel multiple Lyapunov functionals, an easily checkable sufficient condition is presented to guarantee the exponential stability of linear switched delay systems. Finally, we give an example to show the validity of the presented method.