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On necessary and sufficient conditions for output finite-time stability

Konstantin Zimenko 1, * Denis Efimov 2 Andrey Polyakov 2 Artem Kremlev 1
* Corresponding author
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 : Output global finite-time stability of locally Lipschitz continuous autonomous systems is characterized by means of smooth Lyapunov functions. The so-called output-Lagrange stable systems are studied with details. Influence of a kind of continuity of the settling-time function is considered. Necessary and sufficient conditions of output finite-time stability are presented. The theoretical results are supported by academic examples and numerical simulations.
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Submitted on : Tuesday, October 27, 2020 - 12:01:15 PM
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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. On necessary and sufficient conditions for output finite-time stability. Automatica, Elsevier, In press, ⟨10.1016/j.automatica.2020.109427⟩. ⟨hal-02979811⟩



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