Convergence conditions for Persidskii systems

Wenjie Mei (1) , Denis Efimov (1) , Rosane Ushirobira (1) , Alexander Aleksandrov (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 SPBU - Saint Petersburg University

A class of generalized Persidskii systems is considered in this work. The conditions of convergence for Persidskii systems are introduced, which can be checked through linear matrix inequalities. Also, the case of almost periodic convergence of this class of dynamics with almost periodic input is studied. The proposed results are applied to a Lotka-Volterra model.

Domaines: Automatique / Robotique

Wenjie Mei, Denis Efimov, Rosane Ushirobira, Alexander Aleksandrov. Convergence conditions for Persidskii systems. ECC 2021 - 19th European Control Conference, Jun 2021, Rotterdam / Virtual, Netherlands. ⟨hal-03255877⟩