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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 28–39
(Mi ivm8701)
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This article is cited in 2 scientific papers (total in 2 papers)
Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations
B. S. Kalitina, R. Chabourb a Chair of Methods of Optimal Control, Belarusian State University, Minsk, Republic of Belarus
b Department of Mathematics, Metz University P. Verlin, Metz, France
Abstract:
We extend the method of semidefinite Lyapunov functions for analyzing the motion stability as applied to systems of nonautonomous differential equations. We prove basic stability theorems and illustrate them with examples.
Keywords:
nonautonomous systems of differential equations, equilibrium, stability, Lyapunov function.
Received: 27.01.2011
Citation:
B. S. Kalitin, R. Chabour, “Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 28–39; Russian Math. (Iz. VUZ), 56:5 (2012), 23–33
Linking options:
https://www.mathnet.ru/eng/ivm8701 https://www.mathnet.ru/eng/ivm/y2012/i5/p28
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Abstract page: | 263 | Full-text PDF : | 94 | References: | 62 | First page: | 5 |
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