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

Fichier principal

On_finite_fixed_time_stability_analysis_based_on_sup__and_sub_homogeneous_extensions-BRAIDIZ.pdf (521.39 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 : mardi 9 février 2021-13:30:02

Dernière modification le : mercredi 24 janvier 2024-09:54:24

Dates et versions

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

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

Identifiants

HAL Id : hal-03131583 , version 2
DOI : 10.1016/j.sysconle.2021.104893

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, inPress, 150, ⟨10.1016/j.sysconle.2021.104893⟩. ⟨hal-03131583v2⟩

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