On finite-time stability of sub-homogeneous differential inclusions - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2020

On finite-time stability of sub-homogeneous differential inclusions

Résumé

Sub-homogeneity property is introduced and is related to a differential inclusion (DI). It is shown that a nonlinear ordinary differential equation (ODE), which may not admit a homogeneous approximation, can be transformed into a sub-homogeneous DI (which is a homogeneous extension of the original ODE). Using this homogeneous extension, one can directly recover finite-time stability property for some particular classes of nonlinear systems. In the last section, such a sub homogeneity property is used to design a nonlinear finite-time observer.
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Dates et versions

hal-02634616 , version 1 (27-05-2020)

Identifiants

  • HAL Id : hal-02634616 , version 1

Citer

Youness Braidiz, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. On finite-time stability of sub-homogeneous differential inclusions. IFAC 2020 - 21rst IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02634616⟩
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