时滞差分系统基于两种度量的稳定性分析  

STABILITY IN TERMS OF TWO MEASURES FOR DIFFERENCE SYSTEMS WITH FINITE DELAY

作　　者：吴述金[1] 郭小林 寇春海[3] 

机构地区：[1]上海交通大学应用数学系,上海200240 [2]安徽财贸学院计算机系,蚌埠230341 [3]上海交通大学自动化系,上海200030

出　　处：《应用数学学报》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

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.

关 键 词：度量 时滞差分系统 测度 稳定性 LIAPUNOV函数 

分 类 号：O241.84[理学—计算数学]