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On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions

Abstract : Fixed-time and finite-time stabilities of non-linear systems are investigated using the introduced notions of sub-and sup-homogeneity. These concepts allow the systems to be analyzed using the homogeneity, even if they do not admit homogeneous approximations. Finite-time and fixed-time stability properties can be established using homogeneity degree of sub-and sup-homogeneous extensions.
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https://hal.inria.fr/hal-03131583
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Tuesday, February 9, 2021 - 1:30:02 PM
Last modification on : Friday, January 21, 2022 - 3:09:17 AM

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Youness Braidiz, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions. Systems and Control Letters, Elsevier, In press, ⟨10.1016/j.sysconle.2021.104893⟩. ⟨hal-03131583v2⟩

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