On estimation of rates of convergence in Lyapunov-Razumikhin approach

Denis Efimov (1) , Alexander Aleksandrov (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 ITMO - National Research University of Information Technologies, Mechanics and Optics [St. Petersburg]

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.

Domaines: Automatique / Robotique

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⟩