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Article Dans Une Revue Automatica Année : 2024

Finite-time stability analysis of homogeneous systems with sector nonlinearities ⋆

Résumé

A class of homogeneous systems with sector nonlinearities is considered in the paper. Sufficient conditions of finite-time (input-to-state) stability are established with the use of new constructive modification of the Implicit Lyapunov Function approach. The proposed conditions are given in the form of linear matrix inequalities. The theoretical results are supported with numerical examples.

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Automatique
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Dates et versions

hal-04613985 , version 1 (17-06-2024)

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  • HAL Id : hal-04613985 , version 1

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Artem Kremlev. Finite-time stability analysis of homogeneous systems with sector nonlinearities ⋆. Automatica, In press. ⟨hal-04613985⟩
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