| 脉冲微分系统基于两种测度的稳定性分析 |
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| 引用本文： | 寇春海,张书年.脉冲微分系统基于两种测度的稳定性分析[J].上海交通大学学报,2001,35(5):799-804. |
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| 作者姓名： | 寇春海 张书年 |
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| 作者单位： | 上海交通大学应用数学系, |
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| 基金项目： | 国家自然科学基金资助项目(19831030) |
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| 摘 要： | 利用变异Lyapunov方法，讨论了脉冲微分系统依照两种测度的稳定性判定定理，在脉冲时刻为固定的情形下，得到了关于用常微分系统的稳定性来判定脉冲微分系统稳定性的若干判定定理，并改进了已有的多个结果。
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| 关 键 词： | 脉冲微分系统 变异Lyapunov方法 稳定性 测度 Lyapunov函数 |
| 文章编号： | 1006-2467(2001)02-0799-06 |
| 修稿时间： | 2000年10月16 |
Stability Analysis for Impulsive Differential Systems in Terms of Two Measures |
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| KOU Chun hai,ZHANG Shu nian.Stability Analysis for Impulsive Differential Systems in Terms of Two Measures[J].Journal of Shanghai Jiaotong University,2001,35(5):799-804. |
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| Authors: | KOU Chun hai ZHANG Shu nian |
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| Abstract: | Employing the so called variational Lyapunov method, this paper discusses stability in terms of two measures for impulsive differential equations. In the case that the moments of impulsive effects are fixed, the paper establishes several stability criteria. By using these theorems, it can conclude stability properties of impulsive differential systems from the corresponding stability properties of the relevant ordinary differential systems. The results much generalize the known ones. |
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| Keywords: | impulsive differential systems variational Lyapunov method stability two measures Lyapunov functions |
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