Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays

This paper considers the stability problem for discrete-time systems with interval time-varying delays. By construction of a suitable Lyapunov–Krasovskii (L–K) functional and utilization of Finsler’s lemma, novel delay-dependent criteria for asymptotic stability of the systems are established in terms of linear matrix inequalities (LMIs) which can easily be solved by various effective optimization algorithms. Three numerical examples are given to illustrate the effectiveness of the proposed method.

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