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Communication Dans Un Congrès Année : 2020

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

Résumé

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.

Domaines

Automatique
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Dates et versions

hal-02614533 , version 1 (21-05-2020)

Identifiants

  • HAL Id : hal-02614533 , version 1

Citer

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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