A relaxed Lyapunov-Krasovskii condition for global exponential stability of Lipschitz time-delay systems - CentraleSupélec Access content directly
Conference Papers Year : 2019

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

Antoine Chaillet
Jakub Orłowski
Pierdomenico Pepe
  • Function : Author
  • PersonId : 948686

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.

Domains

Automatic
Fichier principal
Vignette du fichier
190912 - Relaxed LKF for GES pbshd CDC.pdf (220.77 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03114574 , version 1 (19-01-2021)

Identifiers

Cite

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 2019), Dec 2019, Nice, France. ⟨10.1109/cdc40024.2019.9030092⟩. ⟨hal-03114574⟩
45 View
97 Download

Altmetric

Share

Gmail Facebook X LinkedIn More