On estimation of rates of convergence in Lyapunov–Razumikhin approach

• Autores: Denis Efimov, Alexander Aleksandrov
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Nº. 116, 2020
• Idioma: inglés
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• Resumen

  • 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.