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On finite-time stability of homogeneous systems with multiplicative bounded function *

Abstract : In this paper, we study the finite-time stability of a class of nonlinear systems x' = f (x) = H(x)b(x), where H is homogeneous and b is bounded. We define the homogeneous extension of the non-homogeneous function f and use this extension to prove that, under some conditions on b, if the system x' = f (x) is globally asymptotically stable, then it is finite-time stable. An example of global asymptotic stable system with some additional conditions is presented in the last section to illustrate the obtained results.
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https://hal.inria.fr/hal-02137648
Contributor : Andrey Polyakov <>
Submitted on : Thursday, May 23, 2019 - 10:52:05 AM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM

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Youness Braidiz, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. On finite-time stability of homogeneous systems with multiplicative bounded function *. ECC 2019 - European Control Conference, Jun 2019, Nalpes, Italy. ⟨hal-02137648⟩

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