Implicit Lyapunov-Krasovski Functionals for Time Delay Systems

The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, fiite-time,fixed-time and (hyper-) exponential stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is developed. The theoretical results are supported by numerical simulations.

Domaines

Automatique

Fichier principal

ifac_main.pdf (233.74 Ko)

Origine	Fichiers produits par l'(les) auteur(s)

Andrey Polyakov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-01071227

Soumis le : vendredi 3 octobre 2014-14:30:16

Dernière modification le : vendredi 31 mai 2024-18:32:03

Archivage à long terme le : dimanche 4 janvier 2015-10:45:23

Dates et versions

hal-01071227 , version 1 (03-10-2014)

Identifiants

HAL Id : hal-01071227 , version 1

Citer

Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. Implicit Lyapunov-Krasovski Functionals for Time Delay Systems. Conference on Decision and Control, IEEE, Dec 2014, Los Angeles, United States. ⟨hal-01071227⟩

Exporter

BibTeX XML-TEI Dublin Core DC Terms EndNote DataCite

Collections

CNRS INRIA LAGIS CRISTAL INRIA2 CRISTAL-SYNER UNIV-LILLE

404 Consultations

473 Téléchargements