Stability Analysis and Synthesis of Discrete Impulsive Switched Systems with Time-Varying Delays and Parameter Uncertainty
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This paper studies the problem of stability and stabilization for discrete impulsive switched systems with time-varying delays and norm-bounded parameter uncertainty. By using the Lyapunov–Krasovskii functional technique and the method of linear matrix inequalities (LMIs), some delay-dependent criteria on asymptotic stability are established. A stabilization condition using feedback control is formulated to stabilize the closed-loop system. Some numerical examples are given to illustrate the main results.
KeywordsDelay-dependent Lyapunov–Krasovskii functional Discrete impulsive switched system
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