| 一类脉冲泛函微分系统的稳定性 |
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| 引用本文： | 满在伟,张立琴.一类脉冲泛函微分系统的稳定性[J].科学技术与工程,2009,9(4). |
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| 作者姓名： | 满在伟 张立琴 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 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.
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| 关 键 词： | 脉冲泛函微分系统 一致渐近稳定 Lyapunov函数 Razumikhin技巧 |
Stability for a Class of Impulsive Functional Differential Systems |
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| MAN Zai-wei,ZHANG Li-qin.Stability for a Class of Impulsive Functional Differential Systems[J].Science Technology and Engineering,2009,9(4). |
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| Authors: | MAN Zai-wei ZHANG Li-qin |
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| Institution: | School of Mathematical Sciences;Shandong Normal University;Ji'nan 250014;P.R.China |
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| Abstract: | 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 suffcient 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. |
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| Keywords: | impulsive functional differential sysems uniform asymptotic stability lyapunov functions razumikhin technique |
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