| 具固定时刻的二阶脉冲微分系统零解的稳定性 |
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| 引用本文： | 朱俊杰,李晓迪.具固定时刻的二阶脉冲微分系统零解的稳定性[J].数学的实践与认识,2010,40(8). |
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| 作者姓名： | 朱俊杰 李晓迪 |
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| 作者单位： | 1. 昌吉学院,数学系,新疆,昌吉,831102
2. 厦门大学,数学科学学院,福建,厦门,361005 |
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| 摘 要： | 利用脉冲微分不等式和分析技巧,构造Lyapunov函数给出了二阶具固定脉冲时刻的微分系统零解的稳定性的两个判定准则,特别突出了脉冲效应对系统稳定性的关键影响,并给出了其相关例子.
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| 关 键 词： | 脉冲微分系统 固定脉冲时刻 Lyapunov函数 稳定性 |
The Stability of Second Order Impulsive Differential Systems with Fixed Moments of Impulsive Effects |
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| ZHU Jun-jie,LI Xiao-di.The Stability of Second Order Impulsive Differential Systems with Fixed Moments of Impulsive Effects[J].Mathematics in Practice and Theory,2010,40(8). |
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| Authors: | ZHU Jun-jie LI Xiao-di |
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| Institution: | ZHU Jun-jie~1,LI Xiao-di~2 (1.Department of Mathematics,Changji College,Xinjiang 831102,China) (2.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China) |
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| Abstract: | Some stability criteria are obtained for a class of second order fixed impulsive moment differential systems by the methods using impulsive differential inequalities and analytical skills and involving construction of Lyapunov function.Finally the application of this theorem is illustrated with some examples |
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| Keywords: | impulsive differential system fixed impulsive moment lyapunov functions Stability |
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