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

Abstract EN

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.