| 一类三阶脉冲微分系统的稳定性 |
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| 引用本文： | 姚洪兴,朱清.一类三阶脉冲微分系统的稳定性[J].江苏大学学报(自然科学版),2009,30(3). |
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| 作者姓名： | 姚洪兴 朱清 |
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| 作者单位： | 江苏大学,理学院,江苏,镇江,212013 |
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| 摘 要： | 通过构造等价系统和Lyapunov函数,研究了一类三阶脉冲微分系统零解的稳定性.并通过Lyapunov直接方法给出一类三阶脉冲微分系统零解的稳定性的判定准则.当p(t)=1时得出推论:一般三阶脉冲微分系统零解的一致稳定的充分条件.同时研究了脉冲效应对系统稳定性的关键影响,并给出相关例子进行数值仿真.
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| 关 键 词： | 脉冲微分系统 Lyapunov函数 稳定性 |
Stability of a kind of third-order impulsive differential system |
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| Yao Hongxing,Zhu Qing.Stability of a kind of third-order impulsive differential system[J].Journal of Jiangsu University:Natural Science Edition,2009,30(3). |
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| Authors: | Yao Hongxing Zhu Qing |
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| Institution: | Faculty of Science;Jiangsu University;Zhenjiang;Jiangsu 212013;China |
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| Abstract: | By constructing the equivalent system and Lyapunov function,the stability for a kind of third order impulsive differential system at fixed times is investigated.Stability is obtained for a kind of impulsive differential system at fixed times by the methods involving construction of Lyapunov function.So the conclusion is drawn that p(t)=1 is the full condition of uniform stability for a generic impulsive differential system at fixed times.The impulsive effect on the stability of the system of crucial impact ... |
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| Keywords: | impulsive differential system Lyapunov function stability |
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