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Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach

Abstract : In this paper we deal with a class of time-varying delay systems. We show that the existence of a noncoercive Lyapunov-Krasovskii functional is necessary and sufficient for local exponential stability. This result extends what is recently given in [3] for globally Lipschitz systems to a class of locally Lipschitz systems. A switched system approach is used to elaborate this result.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03851071
Contributor : Ihab Haidar Connect in order to contact the contributor
Submitted on : Monday, November 14, 2022 - 11:55:23 AM
Last modification on : Thursday, November 17, 2022 - 4:03:02 AM

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  • HAL Id : hal-03851071, version 1

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Ihab Haidar. Non-coercive Lyapunov-Krasovskii functionals for exponential stability of time-varying delay systems: a switched system approach. 2022. ⟨hal-03851071⟩

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