| 一类非自治非线性系统的稳定性 |
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| 引用本文： | 刘昌东,余孝华.一类非自治非线性系统的稳定性[J].西南交通大学学报,2000,35(4):440-443. |
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| 作者姓名： | 刘昌东 余孝华 |
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| 作者单位： | 1. 湛江海洋大学数学系,广东,湛江,524025
2. 西南交通大学应用数学系,四川,成都,610031 |
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| 摘 要： | 运用大系统分解理论的标量Ｖ（Ｌｉａｐｕｎｏｖ）函数方法，对一类非自治非线性系统的稳定性理论进行研究，获得该系统的渐近稳定性的充分条件，并同时得到当系统中非线性项条件减弱时，系统渐进稳定性的一个推论。
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| 关 键 词： | 非线性系统 非自治系统 渐近稳定 稳定性 |
| 文章编号： | 0258-2724(2000)04-0440-04 |
The Stability of a Nonautonomous and Nonlinear System |
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| LIU Chang-dong,YU Xiao-hua.The Stability of a Nonautonomous and Nonlinear System[J].Journal of Southwest Jiaotong University,2000,35(4):440-443. |
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| Authors: | LIU Chang-dong YU Xiao-hua |
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| Abstract: | The stability theory of a kind of nonautonomous and nonlinear system is discussed using the scalar quantity function V (Liapunov) for the decomposition theory of large systems. The sufficient condition of the asymptotic stability of the system is obtained, and in the meantime, a corollary for the asymptotic stability is derived when the nonlinear term of the system is weakened. |
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| Keywords: | nonlinear systems nonautonomous systems asymptotic stability Liapunov function |
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