二阶时滞微分方程的脉冲稳定化（英文）  

Impulsive stabilization of second-order differential equations with delay

作　　者：郑继明[1] 朱伟[1] 

机构地区：[1]重庆邮电大学系统理论及其应用研究中心,重庆400065

出　　处：《四川大学学报（自然科学版）》2014年第4期643-648,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金项目(61004042,10971240)

摘　　要：本文讨论了一类具有时滞的二阶微分方程的脉冲稳定化问题,分别得到了在脉冲和周期脉冲控制下的指数稳定性的判别准则,推广和改进了最近的一些结果.例子及数值模拟表明所得理论结果的有效性.In this paper, the impulsive stabilization problems of a class of second-order differential equa- tions with delay is considered. Criteria on the exponential stabilization by impulses and by periodical impulses are obtained, respectively. Some recent results are extended and improved. An example and its numerical simulation are given to illustrate the effectiveness oF the theoretical results.

关 键 词：脉冲稳定化 时滞 二阶微分方程 周期脉冲 

分 类 号：O175.13[理学—数学]