Exponential stability of switched time-varying systems with delay and disturbance

Abstract

In this paper we study a class of switched time-varying systems with delay and nonlinear disturbance. Based on a generalized integral inequality with time-varying delay, new sufficient conditions for exponential stability of the system are established for both the cases when the involved nonlinear disturbance satisfies linear and nonlinear growing conditions, respectively. Two numerical examples are also given to demonstrate the effectiveness of the theoretical results of this paper.