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具固定脉冲时刻的脉冲微分系统关于部分变元的指数稳定性
引用本文:郗强,李晓迪.具固定脉冲时刻的脉冲微分系统关于部分变元的指数稳定性[J].数学的实践与认识,2009,39(12).
作者姓名:郗强  李晓迪
作者单位:1. 山东经济学院,统计与数学学院,山东,济南,250014
2. 厦门大学,数学科学学院,福建,厦门,361005
摘    要:研究了具固定脉冲时刻的脉冲微分系统关于部分变元的指数稳定性,得到了保证零解关于部分变元指数稳定的充分条件,并给出了关于部分变元稳定性的一个新的判定准则.最后给出了其相关例子.

关 键 词:固定时刻  脉冲微分系统  部分变元指数稳定

The Exponential Stability With Respect to Part of the Variables in the Impulsive Differential System at Fixed Times
XI Qiang,LI Xiao-di.The Exponential Stability With Respect to Part of the Variables in the Impulsive Differential System at Fixed Times[J].Mathematics in Practice and Theory,2009,39(12).
Authors:XI Qiang  LI Xiao-di
Abstract:We investigate the exponential stability with respect to part of the variables in the impulsive differential system at fixed times,one sufficient condition is found for exponential stability with respect to part of the variables,and a new stability criterion with respect to part of the variables is also obtained in this paper.Finally the application of this method are illustrated with some examples.
Keywords:fixed times  impulsive differential system  exponential stability with respect to part of the variables
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