时滞差分系统基于两种测度的极端稳定性  

Extreme Stability in Terms of Two Measures for Difference Systems with Finite Delay

作　　者：吴述金[1] 张书年[1] 

机构地区：[1]上海交通大学应用数学系,上海200240

出　　处：《数学物理学报（A辑）》2001年第3期416-423,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金资助项目 (No.1 983 1 0 3 0 )

摘　　要：首先引入了时滞差分系统基于两种测度的极端稳定性概念 ,然后建立了一些关于时滞差分系统 ( h0 ,h)极端稳定性 (极端一致稳定性 ,极端渐近稳定性 ,极端一致渐近稳定性 )的判定准则 .在所得到的定理中 ,对 ΔV的限制较弱 ,特别地 ,ΔV甚至可以恒为正 。In this paper, we first introduce the conception of extreme stability in terms of two measures for difference systems with finite delay, then we establish some theorems which can ascertain the \$(h\-0,h)\$ extreme stability (extreme uniform stability, extreme asymptotic stability, extreme uniform asymptotic stability) of delay difference systems. In the obtained theorems, \$ΔV\$ is not required to be always negative, especially, may be even positive, which are more convenient to use. At the end, we give an example to show the application of the obtained results.

关 键 词：时滞差分系统 两种测度 极端稳定性 判定准则 乘积系统 LIAPUNOV函数 

分 类 号：O317[理学—一般力学与力学基础]