| 几类二阶非线性系统零解的全局稳定性 |
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| 引用本文： | 胡爱莲,李全顺.几类二阶非线性系统零解的全局稳定性[J].喀什师范学院学报,2005,26(3):7-8,14. |
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| 作者姓名： | 胡爱莲 李全顺 |
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| 作者单位： | 喀什师范学院,数理系,新疆,喀什,844007 |
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| 摘 要： | 利用类比法，对几类二阶非线性系构造了相应的Lyapunov函数，利用这些函数及其全导数的定号性或常号性，给出了这些系统关于零解的全局渐近稳定结果．
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| 关 键 词： | 非线性系统 Lyapunov函数 全局渐近稳定性 |
| 文章编号： | 1006-432X(2005)03-0007-02 |
Global Stability of Zero Solution of Some Second Order Nonlinear Systems |
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| HU Ai-lian,LI Quan-shun.Global Stability of Zero Solution of Some Second Order Nonlinear Systems[J].Journal of Kashgar Teachers College,2005,26(3):7-8,14. |
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| Authors: | HU Ai-lian LI Quan-shun |
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| Abstract: | The globally asymptotical stability of zero solution of some second order nonlinear systems are studied in this paper. Using the definite forms of the Lyapunov functions and their total time derivatives, We obtain some results about the globally asymptotical stability of the zero solution of these systems. |
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| Keywords: | Nonlinear system Lyapunov function Globally asymptotical stability |
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