Exponential stability analysis for discrete-time switched linear systems with time-delay

In this paper, we focus on the problem of stability for a class of discrete-time switched linear systems with time-delay. The average dwell time method is introduced into discrete switched delay systems for the first time. Sufficient conditions for exponential stability are developed for a class of switching signal with average dwell time. These conditions are given in terms of linear matrix inequalities (LMls). As a special case of such a switching signal, we can obtain exponential stability under arbitrary switching signal. The state decay estimate is also explicitly developed. Lastly, a numerical example is given to illustrate the effectiveness of the proposed method.