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

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.

Keywords

Finite/Fixed-time stability Asymptotic stability Nonlinear systems

Domains

Automatic Control Engineering

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Andrey Polyakov : Connect in order to contact the contributor

https://inria.hal.science/hal-03131583

Submitted on : Thursday, February 4, 2021-2:52:36 PM

Last modification on : Friday, May 31, 2024-6:32:03 PM

Long-term archiving on: Wednesday, May 5, 2021-7:02:42 PM

Dates and versions

hal-03131583 , version 1 (04-02-2021)

hal-03131583 , version 2 (09-02-2021)

Identifiers

HAL Id : hal-03131583 , version 1

Cite

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, In press. ⟨hal-03131583v1⟩

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