时滞差分系统两种测度的稳定性  

Stability of Delay Difference Systems in Terms of Two Measures

作　　者：傅显隆[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：《上海交通大学学报》2002年第2期263-266,共4页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目 ( 198310 80 )

摘　　要：利用 Liapunov泛函方法建立了无限时滞差分系统基于两种测度的一致稳定和一致渐近稳定性判据 ,并运用所得的结果讨论了一个具体的无限时滞差分系统的一致稳定和一致渐近稳定性 。By applying Liapunov functional method, this paper established some criterions of uniform stability and uniform asymptotic stability for difference systems with infinite delay in terms of two measures. As an application, the uniform stability and uniform asymptotic stability of a concrete difference system were discussed by using the obtained results. The obtained results extend and develop the corresponding conclusions on the direction.

关 键 词：时滞差分系统 测度 稳定性 

分 类 号：O175.13[理学—数学]