| 两类非线性系统的全局稳定性 |
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| 引用本文： | 吴明录.两类非线性系统的全局稳定性[J].应用数学,1990(3):44-51. |
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| 作者姓名： | 吴明录 |
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| 作者单位： | 中国科学技术促进发展研究中心 北京3814信箱 |
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| 摘 要： | 本文利用 Liapunov 函数方法和论证系统正半轨线有界的 Shimanov区域方法,给出了两类非线性系统的零解为全局稳定的充分条件,并讨论了一些低阶实例,得到了较好的结果.
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| 关 键 词： | 非线性系统 全局稳定性 低阶系统 |
The Global Stability of Two Classes of Nonlinear Systems |
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| Wu Minglu.The Global Stability of Two Classes of Nonlinear Systems[J].Mathematica Applicata,1990(3):44-51. |
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| Authors: | Wu Minglu |
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| Abstract: | By using the methods of Liapunov function and Shimanov region for proving the boundedness of the system's semi-positive curves,some suffici- ent conditions are obtained in this paper for the global stability of the equilibria of two classes of nonlinear systems.Then some systems of lower order are studied in detail and better results are obtained. |
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| Keywords: | Nonlinear system Global stabitity Lower order system |
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