Verification of ISS, iISS and IOSS properties applying weighted homogeneity

Several conditions are proposed to check different robustness properties (ISS, iISS, IOSS and OSS) for generic nonlinear systems applying the weighted homogeneity concept (global or local). The advantages of this result are that, under some mild conditions, the system robustness can be established as a function of the degree of homogeneity.

Mots clés

Homogeneous systems Input-to-state stability Integral input-to-state stability

Domaines

Automatique

Fichier principal

Homogenity_ISS_J.pdf (283.95 Ko)

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

Denis Efimov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-00877148

Soumis le : samedi 26 octobre 2013-17:12:28

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

Archivage à long terme le : lundi 27 janvier 2014-14:12:49

Dates et versions

hal-00877148 , version 1 (26-10-2013)

Identifiants

HAL Id : hal-00877148 , version 1
DOI : 10.1016/j.sysconle.2013.09.004

Citer

Emmanuel Bernuau, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Verification of ISS, iISS and IOSS properties applying weighted homogeneity. Systems and Control Letters, 2013, 62 (12), pp.1159-1167. ⟨10.1016/j.sysconle.2013.09.004⟩. ⟨hal-00877148⟩

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