Stability and [formula omitted]-gain analysis for switched delay systems: A delay-dependent method

Abstract

In this paper, we study stability and L 2 -gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L 2 -gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L 2 -gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.