| 一类四阶非线性系统的稳定性 |
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| 引用本文： | 李玉洁.一类四阶非线性系统的稳定性[J].安庆师范学院学报(自然科学版),2005,11(3):14-15. |
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| 作者姓名： | 李玉洁 |
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| 作者单位： | 芜湖师范专科学校,安徽,芜湖,241008 |
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| 摘 要： | 本文在四阶常系数线性系统李雅普诺夫函数的基础上,将四阶非线性系统化成它的等价系统,然后利用“类比法”构造了一类四阶非线性系统的李雅普诺夫函数,并给出该系统的零解稳定性条件。
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| 关 键 词： | 非线性系统 稳定性 李雅普诺夫函数 |
| 文章编号： | 1007-4260（2005）03-0014-02 |
| 收稿时间： | 2004-12-01 |
| 修稿时间： | 2004-12-012005-04-28 |
Stability of A Class of Fourth-order Nonlinear System |
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| LI Yu-jie.Stability of A Class of Fourth-order Nonlinear System[J].Journal of Anqing Teachers College(Natural Science Edition),2005,11(3):14-15. |
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| Authors: | LI Yu-jie |
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| Abstract: | On the basis of Liapunov's function of a fourth-order linear system with constant coefficients, this article has converted the fourth-order nonlinear system into its equivalence system, made up a Liapunov's function of a class of fourth-order nonlinear system by using "analogy method", and derived the conditions for the zero answer stability of the system. |
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| Keywords: | nonlinear system stability Liapunov's function |
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