HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Conference papers

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.
Document type :
Conference papers
Complete list of metadata

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 : Thursday, January 6, 2022 - 3:46:59 AM
Long-term archiving on: : Tuesday, April 20, 2021 - 6:19:19 PM

File

190912 - Relaxed LKF for GES p...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03114574, version 1

Citation

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⟩

Share

Metrics

Record views

31

Files downloads

36