摘要
通过 Liapunov泛函讨论有限时滞差分方程零解的渐近稳定性 ,这里只须要求 Liapunov泛函的差分在一区间序列上负定 ,并引入两种测度下稳定性的概念 ,使所得结果更具一般性 .在验证零解的渐近稳定性时 ,指出要求
This paper considered the asymptotic stability of the zero solution of finite delay difference equations by Liapunov functional. It only requires the difference of Liapunov functional to be negative definite on a sequence of intervals. To be more general, a concept of stability in terms of two measures was introduced. Furthermore, it is not necessary to require an upper bound on Liapunov functional for asymptotic stability.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2002年第10期1516-1519,共4页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目 (1983 10 3 0 )