时滞动力系统的α-稳定性分析  

Analysis of α-Stability of Dynamical System with Time Delay

作　　者：狄成宽[1] 

机构地区：[1]南京工程学院基础部,江苏南京211167

出　　处：《南京工程学院学报（自然科学版）》2008年第3期1-6,共6页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：摘要:通过引入一个α因子,把参数与时滞无关的时滞系统转变为参数与时滞相关的时滞系统,进而利用Beretta和Kuang文中的公式Sj=τ-jτ及其结论,分析讨论了带一个时滞的时滞微分方程零解的快速收敛,即α-稳定性问题.零解的时间历程图表明结果是有效的.By introducing an α- factor, time delay system in which the parameters were irrelevant to time delay was transformed to a system in which the parameters had something to do with time delay. Then, through the use of the formula Sj=τ-τj and the conclusion of Beretta and Kuang, this paper examined the rapid convergence of zero solution to delay differential equations, i.e. α-stability problem. Zero solution＇s time course chart proved to be effective.

关 键 词：时滞 特征方程 稳定性切换 α-稳定性 

分 类 号：O175[理学—数学]