Exponential stability for switched delay systems based on average dwell time technique and Lyapunov function method

Abstract

This paper considers the problem of guaranteed exponential stability of switched delay systems by using Lyapunov function method, Razumikhin technique. The scheme of average dwell time is introduced into the switched delay systems. Based on the scheme of average dwell time, sufficient conditions for exponential stability of switched delay systems are presented. For a certain class of switched delay systems, a lower bound on the average dwell time guaranteeing exponential stability can be explicitly calculated via the solutions of some linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method