摘要
通过 Liapunov泛函讨论有限时滞差分方程零解的稳定性以及解的有界性时 ,通常只是运用一个 Liapunov泛函 ,这在构造上十分困难 .本文给出了运用两个 Liapunov泛函的稳定性以及有界性的结果 ,并通过实例说明其在应用上的方便性 .
This paper considers the asymptotic stability of the zero solution and the boundedness of solutions for finite delay difference equations by Liapunov functional. Commonly only one Liapunov functional is used to resolve the problem, which is very difficult. Here it gave the results of the stability of the zero solution and the boundedness of solutions by two Liapunov functionals. And the facility in application was explained by examples.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第8期1206-1209,1213,共5页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目 (1983 10 3 0 )
关键词
有限时滞差分方程
李雅普诺夫泛函
一致渐近稳定性
一致有界性
一致最终有界性
零解
finite delay difference equations
Liapunov functionals
uniformly asymptotic stability
uniform boundedness
uniformly ultimate boundedness
