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Stability Analysis and Synthesis of Discrete Impulsive Switched Systems with Time-Varying Delays and Parameter Uncertainty

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Abstract

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.

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Acknowledgement

This research was supported in part by the Natural Sciences and Engineering Research Council of Canada, which is gratefully acknowledged.

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Correspondence to Xinzhi Liu.

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Zhang, Z., Liu, X. Stability Analysis and Synthesis of Discrete Impulsive Switched Systems with Time-Varying Delays and Parameter Uncertainty. Circuits Syst Signal Process 32, 61–81 (2013). https://doi.org/10.1007/s00034-012-9444-8

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  • DOI: https://doi.org/10.1007/s00034-012-9444-8

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