| 非线性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.非线性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(9):1415-1419,1424. |
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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： | 在研究微分方程解的性质时，参数变易法是公认的有效工具，并由此产生了线性化方法，Lyapunov第二方法则对微分方程的稳定性的建立和发展起到了重要的作用。本文利用将两者相结合而建立的变异Lyapunov方法，给出了非线性微分系统依照两种测度的稳定性判定定理。
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| 关 键 词： | 变异Lyapunov方法 稳定性 测度 Lyapunov函数 非线性微分系统 参数变异法 |
| 文章编号： | 1006-2467(2001)09-1415-05 |
Stability Analysis for Nonlinear Differential Systems in Terms of Two Measures |
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| KOU Chun hai,Zhang Shu nian.Stability Analysis for Nonlinear Differential Systems in Terms of Two Measures[J].Journal of Shanghai Jiaotong University,2001,35(9):1415-1419,1424. |
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| Authors: | KOU Chun hai Zhang Shu nian |
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| Abstract: | In the study of qualitative properties of differential equations, the method of variation of parameters is considered as an effective technique. On the other hand, Lyapunov second method plays an important role in the establishment and development of stability theory of differential equations. By using the combination of the two techniques, the so called variational Lyapunov method, this paper established several stability criteria for nonlinear differential systems in terms of two measures. |
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| Keywords: | variational Lyapunov method stability two measures Lyapunov functions |
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