This article is cited in 2 papers

Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations

B. S. Kalitin^a, R. Chabour<sup>b

a</sup> 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.

UDC: 517.925

Received: 27.01.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:5, 23–33

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