On an extension of homogeneity notion for differential inclusions

The notion of geometric homogeneity is extended for differential inclusions. This kind of homogeneity provides the most advanced coordinate-free framework for analysis and synthesis of nonlinear discontinuous systems. Theorem of L. Rosier [1] on a homogeneous Lyapunov function existence and an equivalent notion of global asymptotic stability for differential inclusions are presented.

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Automatique / Robotique

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HomogeneityIncluDiff.pdf (330.32 Ko)

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Denis Efimov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-00801818

Soumis le : lundi 18 mars 2013-14:30:04

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

Archivage à long terme le : jeudi 20 juin 2013-16:05:07

Dates et versions

hal-00801818 , version 1 (18-03-2013)

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HAL Id : hal-00801818 , version 1

Citer

Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti, Andrey Polyakov. On an extension of homogeneity notion for differential inclusions. European Control Conference 2013, Jul 2013, Zurich, Switzerland. ⟨hal-00801818⟩

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