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Journal Articles Automatica Year : 2020

On estimation of rates of convergence in Lyapunov-Razumikhin approach

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Abstract

Considering a retarded nonlinear system, this note proposes several modifications of the Lyapunov-Razumikhin approach guaranteeing the existence of an upper estimate on convergence rate of the system solutions. The cases of exponential, finite-time and fixed-time (with respect to a ball) convergences are studied. The proposed approach is illustrated by simulation of academic examples.
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hal-02493918 , version 1 (28-02-2020)

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Denis Efimov, Alexander Aleksandrov. On estimation of rates of convergence in Lyapunov-Razumikhin approach. Automatica, 2020, 116, ⟨10.1016/j.automatica.2020.108928⟩. ⟨hal-02493918⟩
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