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

Denis Efimov 1 Alexander Aleksandrov 2
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
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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Submitted on : Thursday, May 21, 2020 - 7:57:29 PM
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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, Wiley, In press, ⟨10.1002/rnc.5115⟩. ⟨hal-02614951⟩

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