Method of Semidefinite Lyapunov Functions for Systems of Nonautonomous Differential Equations

被引：1

作者：

Kalitin, B. S. ^{[1
]}

Chabour, R. ^{[2
]}

机构：

[1] Belarusian State Univ, Pr Nezavisimosti 4, Minsk 220030, BELARUS

[2] Metz Univ P Verlin, F-57045 Metz 01, France

来源：

RUSSIAN MATHEMATICS | 2012年 / 56卷 / 05期

关键词：

nonautonomous systems of differential equations; equilibrium; stability; Lyapunov function;

D O I：

10.3103/S1066369X12050039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：23 / 33

页数：11