时滞差分系统依照两种测度的稳定性  

Stability Analysis in Terms of Two Measures for Delay Difference Systems

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：《上海交通大学学报》2001年第12期1912-1915,共4页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目 ( 198310 30 )

摘　　要：运用变异李亚谱诺夫方法 ,讨论了时滞差分系统依照两种测度的稳定性 .借助于中间测度h* (n,x) ,建立了由常差分系统两种测度稳定性而推出时滞差分系统相应的两种测度稳定性的判别准则 .作为特例 ,给出了易于检验的比较原理 ,并用算例说明所得结果之应用 .Employing the so called variational Liapunov method, this article discussed the stability properties of delay difference systems in terms of two measures. Utilizing the auxiliary measure h *(n,x) , it established several criteria in which the stability properties in terms of two measures for ordinary difference system imply the corresponding stability properties in terms of two measures for the relevant delay difference system. As a special case, an easy to check comparison theorem was derived. Moreover, some examples were given to illustrate the applications of the obtained results.

关 键 词：时滞差分系统 变异李亚谱诺夫方法 稳定性 测度 

分 类 号：O175.7[理学—数学]