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On fixed-time stability of a class of nonlinear time-varying systems

Youness Braidiz 1 Andrey Polyakov 2 Denis Efimov 2 Wilfrid Perruquetti 1
1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : Fixed-time stability of a class of nonlinear time-varying systems is investigated using the introduced notions of sub-and sup-homogeneity. These concepts allow the systems (even if they do not admit homogeneous approximations) to be analyzed using the homogeneity of their extensions. Then, finite-time and fixed-time stability properties can be recovered. The proposed stability conditions are not based on Lyapunov arguments. In the last section, an example illustrates the obtained results.
Keywords : Fixed-time stability Homogeneity Nonlinear systems
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https://hal.inria.fr/hal-02614533
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Submitted on : Thursday, May 21, 2020 - 7:52:13 AM
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  • HAL Id : hal-02614533, version 1

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Youness Braidiz, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On fixed-time stability of a class of nonlinear time-varying systems. IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02614533⟩

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