ASYMPTOTIC STABILITY OF RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV’ DIRECT METHOD

被引：0
|
作者：
Lipo Mo (School of Computer and Information Engineering
Key Laboratory of Math.
机构：
来源：
Annals of Applied Mathematics | 2010年 / 26卷 / 03期
基金：
中国国家自然科学基金;
关键词：
retarded functional differential equations; asymptotic stability; Lyapu-nov functional;
D O I：
暂无
中图分类号：
O175.13 [稳定性理论];
学科分类号：
070104 ;
摘要：
This paper is devoted to studying the asymptotic stability of retarded nonlinear functional differential equations by the method of Lyapunov functionals. Under the as-sumption that there exists a positive definite time-invariant Lyapunov functional with negative semi-definite derivative, we focus on the extra conditions to guarantee the asymptotic stability, and present a new criterion, which is less conservative than the classical one. Finally, an example is given to illustrate the effectiveness of the result.
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页码：297 / 302
页数：6
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