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

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.

Mots clés

Finite/Fixed-time stability Asymptotic stability Nonlinear systems

Domaines

Automatique

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elsarticle-template.pdf (515.43 Ko)

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

Andrey Polyakov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-03131583

Soumis le : jeudi 4 février 2021-14:52:36

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

Archivage à long terme le : mercredi 5 mai 2021-19:02:42

Dates et versions

hal-03131583 , version 1 (04-02-2021)

hal-03131583 , version 2 (09-02-2021)

Identifiants

HAL Id : hal-03131583 , version 1

Citer

Youness Braidiz, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions. Systems and Control Letters, In press. ⟨hal-03131583v1⟩

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