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

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.