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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 9, Pages 30–38
DOI: https://doi.org/10.26907/0021-3446-2022-9-30-38 (Mi ivm9809) 		 
About the criteria of asymptotic stability of dynamical systems

B. S. Kalitine

Belorussian State University, 4 Nezavisimosty Ave., Minsk, 220030 Republic of Belarus
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DOI: https://doi.org/10.26907/0021-3446-2022-9-30-38
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.
Received: 11.11.2021
Revised: 23.12.2021
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 9, Pages 26–32
DOI: https://doi.org/10.3103/S1066369X22090031
Document Type: Article
UDC: 517.938:925
Language: Russian
Citation: B. S. Kalitine, “About the criteria of asymptotic stability of dynamical systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9, 30–38; Russian Math. (Iz. VUZ), 66:9 (2022), 26–32
Citation in format AMSBIB
\Bibitem{Kal22}
\by B.~S.~Kalitine
\paper About the criteria of asymptotic stability of dynamical systems
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 9
\pages 30--38
\mathnet{http://mi.mathnet.ru/ivm9809}
\crossref{https://doi.org/10.26907/0021-3446-2022-9-30-38}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 9
\pages 26--32
\crossref{https://doi.org/10.3103/S1066369X22090031}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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