Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2022

Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method

Abstract

Razumikhin-like theorems on hyperexponential and fixed-time stability of time-delay systems are proposed for both explicitly and implicitly defined Lyapunov functions. While the former method is useful for stability analysis, the latter approach is more suitable for control synthesis. Examples of systems that can be stabilized hyperexponentially and in fixed time are given. The control parameters tuning algorithm is presented in the form of linear matrix inequalities. The numerical simulations illustrate the theoretical results.
Fichier principal
Vignette du fichier
_ILRF (final version).pdf (454.02 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03643398 , version 1 (15-04-2022)

Identifiers

Cite

Artem N Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor Furtat. Hyperexponential and fixed-time stability of time-delay systems: Lyapunov-Razumikhin method. IEEE Transactions on Automatic Control, inPress, ⟨10.1109/tac.2022.3168487⟩. ⟨hal-03643398⟩
84 View
225 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More