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On Notions of Output Finite-Time Stability

Konstantin Zimenko 1 Denis Efimov 2 Andrey Polyakov 2 Artem Kremlev 1
1 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]
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 : 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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CNRS | CRISTAL | INRIA | UNIV-LILLE | CRISTAL-VALSE | TDS-MACS

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. On Notions of Output Finite-Time Stability. Proc. European Control Conference, Jun 2019, Naples, Italy. ⟨hal-02084981⟩

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