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.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
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 )
关键词
时滞差分系统
变异李亚谱诺夫方法
稳定性
测度
delay difference systems
variational Liapunov method
stability
two measures
