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We are concerned with the stabilityproblem for linear discrete-time switched systems with timedelays. The problem is solved by using multiple Lyapunovfunctions to develop constructive tools for the exponentialstability analysis of the switched time-delay system. Furthermore,the uncertainties of the switched systems are also takeninto consideration. Sufficient delay-dependent conditions arederived in terms of the average dwell time for the exponentialstability based on linear matrix inequalities (LMIs). Finally,numerical examples are provided to illustrate the effectivenessof the proposed method.

Delay-Dependent Stability Analysis for Uncertain Switched Time-Delay Systems Using Average Dwell Time