On necessary and sufficient conditions for output finite-time stability - Archive ouverte HAL Access content directly
Journal Articles Automatica Year : 2020

On necessary and sufficient conditions for output finite-time stability

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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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Dates and versions

hal-02979811 , version 1 (27-10-2020)

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. On necessary and sufficient conditions for output finite-time stability. Automatica, In press, ⟨10.1016/j.automatica.2020.109427⟩. ⟨hal-02979811⟩
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