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Robust Finite-time stability of homogeneous systems with respect to multiplicative disturbances

Youness Braidiz 1 Denis Efimov 1 Andrey Polyakov 1 Wilfrid Perruquetti 2
1 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
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : Lyapunov characterizations of output finite-time stability are presented for the system $x' = f (x), y = h(x)$ which is locally Lipschitz continuous out of the set $Y = {x ∈ R n : h(x) = 0}$ and continuous on $R^n$. The definitions are given in the form of $K$ and $KL$ functions. Necessary and sufficient conditions for output finite-time stability are given using Lyapunov functions. The theoretical results are supported by numerical examples.
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Youness Braidiz, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Robust Finite-time stability of homogeneous systems with respect to multiplicative disturbances. ECC 2019 - European Control Conference, Jun 2019, Naples, Italy. ⟨hal-02084980⟩

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