| 一类二阶时滞微分方程的脉冲指数稳定性 |
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| 引用本文： | 黄灿云,赵立春,赵闽. 一类二阶时滞微分方程的脉冲指数稳定性[J]. 甘肃科学学报, 2009, 21(2): 10-13 |
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| 作者姓名： | 黄灿云 赵立春 赵闽 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 摘 要： | 主要研究二阶时滞微分方程的脉冲控制，利用Lyapunov函数技巧，得到了加入适当脉冲使二阶时滞微分方程指数稳定的条件，并举例说明了脉冲的控制作用．
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| 关 键 词： | 时滞 脉冲 稳定性 Lyapunov函数 |
Impulsive Exponential Stabilization of a Class Second-order Differential Equation with Delay |
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| HUANG Can-yun,ZHAO Li-chun,ZHAO Min. Impulsive Exponential Stabilization of a Class Second-order Differential Equation with Delay[J]. Journal of Gansu Sciences, 2009, 21(2): 10-13 |
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| Authors: | HUANG Can-yun ZHAO Li-chun ZHAO Min |
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| Affiliation: | HUANG Can-yun,ZHAO Li-chun,ZHAO Min(Sclool of Sciences,Lanzhou University of Science and Technology,Lanzhou 730050,China) |
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| Abstract: | The impulsive control of second-order differential equation is studied.By employing the method of Lyapunov functions,criteria in the exponential stabilization by impulses are gained,the paper generalizes and improves the results in the literature.An example is also given to illustrate the efficiency of our result,in which the control effects of impulses are especially stressed. |
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| Keywords: | delay impulsiv stabilization Lyapunov function |
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