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A relaxed Lyapunov-Krasovskii condition for global exponential stability of Lipschitz time-delay systems

Abstract : For nonlinear time-delay systems with globally Lipschitz vector fields, we propose a relaxed sufficient condition for global exponential stability (GES), in which the dissipation rate of the Lyapunov-Krasovskii functional is not needed to involve the functional itself, but merely the point-wise current value of the solution. Our proof technique consists in explicitly constructing a Lyapunov-Krasovskii functional that satisfies existing criteria for GES. Consequences for robustness to exogenous inputs are briefly evoked and an example taken from neuroscience literature illustrates the applicability of the result.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-03114574
Contributor : Antoine Chaillet Connect in order to contact the contributor
Submitted on : Tuesday, January 19, 2021 - 9:22:18 AM
Last modification on : Tuesday, July 20, 2021 - 3:06:54 AM
Long-term archiving on: : Tuesday, April 20, 2021 - 6:19:19 PM

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  • HAL Id : hal-03114574, version 1
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Antoine Chaillet, Jakub Orłowski, Pierdomenico Pepe. A relaxed Lyapunov-Krasovskii condition for global exponential stability of Lipschitz time-delay systems. 58th IEEE Conference on Decision and Control (CDC), Dec 2019, Nice, France. ⟨hal-03114574⟩

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