摘要
本文建立了一些关于时滞差分系统（h0,h）稳定性（一致稳定性,渐近稳定性,一致渐近稳定性）的判定准则.在所得到的定理中,去除了△V为常负的限制,特别地,△V甚至可以恒为正,从而大大改进了已有结果,并更加便于应用.
In this paper, we establish some theorems which can ascertain the (h0, h) stabil-ity (uniform stability, asymptotic stability, uniform asymptotic stability) of delay difference systems. In the obtained theorems, △V is not required to be always negative, especially, △V may be even positive, which greatly improve the known results and are more convenient to use.
出处
《应用数学学报》
CSCD
北大核心
2002年第3期448-454,共7页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金资助项目(19831030号)资助项目
关键词
度量
时滞差分系统
测度
稳定性
LIAPUNOV函数
Difference systems with finite delay, stability in terms of two measures, Liapunov functions
