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Output-Feedback Stabilization of Discrete-Time Systems with Multiple Time-Varying Delays

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Intelligence Computation and Evolutionary Computation

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 180))

Abstract

This paper is concerned with the problem of out-feedback stabilization for a class of discrete-time systems with multiple time-varying delays. All the time delays are assumed to be time-varying and bounded. An improved delay-dependent stability condition for the unforced system is proposed in terms of linear matrix inequality (LMI). Then, based on the obtained result, a delay-dependent result for the existence of a static output-feedback controller, which ensures the asymptotical stability of the system with controlled input and multiple delays, is derived.

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Correspondence to Li Zhang .

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Zhang, L., Li, F. (2013). Output-Feedback Stabilization of Discrete-Time Systems with Multiple Time-Varying Delays. In: Du, Z. (eds) Intelligence Computation and Evolutionary Computation. Advances in Intelligent Systems and Computing, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31656-2_84

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  • DOI: https://doi.org/10.1007/978-3-642-31656-2_84

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31655-5

  • Online ISBN: 978-3-642-31656-2

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