一类脉冲泛函微分系统的稳定性  

Stability for a Class of Impulsive Functional Differential Systems

作　　者：满在伟[1] 张立琴[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《科学技术与工程》2009年第4期825-828,共4页Science Technology and Engineering

基　　金：国家自然科学基金(10571111);山东省自然科学基金(Y2007A10)资助

摘　　要：主要考虑脉冲函数在每一个时刻有同一时滞的脉冲泛函数微分系统,通过Lyapunov函数以及Razumikhin技巧的应用,得出了关于这类系统的零解的一致渐近稳定性的充分条件,并给出定理的应用。The stability of the impulsive functional differential systems is considered in which the state variables on the impulses are related to the finite delays. By using the Lyapunov functions and Razumikhin technique, some suffeient conditions are obtained for the uniform asymptotic stability of these systems. In addition, an example is also given to illustrate the applicability of the result.

关 键 词：脉冲泛函微分系统 一致渐近稳定Lyapunov函数 RAZUMIKHIN技巧 

分 类 号：O175.21[理学—数学]