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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 224, Pages 10–18
DOI: https://doi.org/10.36535/0233-6723-2023-224-10-18 (Mi into1166) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations

S. G. Bulanovab

a A.P. Chekhov Taganrog Institute (branch) of Rostov State Economical University
b Rostov State University of Economics
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DOI: https://doi.org/10.36535/0233-6723-2023-224-10-18
Abstract: Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations are obtained. The criteria are obtained in the multiplicative form based on the transformation of difference schemes for numerical integration and are converted to the additive and integral forms. The formal restrictions for these criteria are constructed and their applicability conditions are indicated.
Keywords: Lyapunov stability, computer stability analysis, numerical modeling of stability.
Document Type: Article
UDC: 519.6
MSC: 34D20
Language: Russian
Citation: S. G. Bulanov, “Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224, VINITI, Moscow, 2023, 10–18
Citation in format AMSBIB
\Bibitem{Bul23}
\by S.~G.~Bulanov
\paper Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 224
\pages 10--18
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1166}
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