On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions

Braidiz, Youness; Polyakov, Andrey; Efimov, Denis; Perruquetti, Wilfrid

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.sysconle.2021.104893

Titre :

On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions

Auteur(s) :

Braidiz, Youness [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]

National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]

Centrale Lille

Titre de la revue :

Systems and Control Letters

Éditeur :

Elsevier

Date de publication :

2021-04

ISSN :

0167-6911

Mot(s)-clé(s) en anglais :

Finite/Fixed-time stability
Asymptotic stability
Nonlinear systems

Discipline(s) HAL :

Informatique [cs]/Automatique

Résumé en anglais : [en]

Fixed-time and finite-time stabilities of non-linear systems are investigated using the introduced notions of sub-and sup-homogeneity. These concepts allow the systems to be analyzed using the homogeneity, even if they do ...
Lire la suite >Fixed-time and finite-time stabilities of non-linear systems are investigated using the introduced notions of sub-and sup-homogeneity. These concepts allow the systems to be analyzed using the homogeneity, even if they do not admit homogeneous approximations. Finite-time and fixed-time stability properties can be established using homogeneity degree of sub-and sup-homogeneous extensions.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Commande et estimation en temps fini pour les Systèmes de Systèmes

Collections :