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On necessary and sufficient conditions for output finite-time stability

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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https://hal.inria.fr/hal-02979811
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Submitted on : Tuesday, October 27, 2020 - 12:01:15 PM
Last modification on : Friday, November 27, 2020 - 2:20:12 PM

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  • HAL Id : hal-02979811, version 1

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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. ⟨hal-02979811⟩

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