About the criteria of asymptotic stability of dynamical systems

B. S. Kalitine

Belorussian State University, 4 Nezavisimosty Ave., Minsk, 220030 Republic of Belarus

Abstract: The work is devoted to the qualitative theory of stability of dynamical systems on a metric space. A number of stably similar properties of closed invariant sets are presented, on the basis of which equivalent criteria for their asymptotic stability in semi-dynamical systems are formulated.

Keywords: closed invariant set, dynamical system, stability, pseudo-stability, asymptotic stability.

UDC: 517.938:925

Received: 11.11.2021
Revised: 23.12.2021
Accepted: 08.04.2022

DOI: 10.26907/0021-3446-2022-9-30-38

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:9, 26–32