Abstract

This paper is concerned with the exponential stability analysis for a class of discrete-time switched non-linear systems with time-varying delays. By constructing an appropriate Lyapunov–Krasovskii function, a new criterion for checking the exponential stability of the addressed switched systems is established and then formulated in terms of linear matrix inequalities. It is shown that this new criterion can provide less conservative results than some existing ones. Two numerical examples are given to illustrate the effectiveness of the proposed results.

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