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On finite-time stability of sub-homogeneous differential inclusions

Abstract : 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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https://hal.inria.fr/hal-02634616
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Submitted on : Wednesday, May 27, 2020 - 3:50:18 PM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM

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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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