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Journal Articles International Journal of Robust and Nonlinear Control Year : 2020

Analysis of robustness of homogeneous systems with time delays using Lyapunov-Krasovskii functionals

Abstract

The paper is devoted to stability analysis of homogeneous time-delay systems applying the Lyapunov-Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of non-zero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.

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Dates and versions

hal-02614951 , version 1 (21-05-2020)

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Denis Efimov, Alexander Aleksandrov. Analysis of robustness of homogeneous systems with time delays using Lyapunov-Krasovskii functionals. International Journal of Robust and Nonlinear Control, In press, ⟨10.1002/rnc.5115⟩. ⟨hal-02614951⟩
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