| 一类具有两个非线性项的四阶非线性系统的稳定性 |
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| 引用本文： | 邢敦菊,王广瓦,沈磊.一类具有两个非线性项的四阶非线性系统的稳定性[J].大学数学,2009,25(2). |
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| 作者姓名： | 邢敦菊 王广瓦 沈磊 |
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| 作者单位： | 1. 邳州市运河中学,江苏,徐州,221300
2. 徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | 徐州师范大学自然科学研究基金 |
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| 摘 要： | 利用"类比法"构造了一类四阶非线性系统的Lyapunov函数,给出了该系统零解稳定性的充分条件.
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| 关 键 词： | 非线性系统 稳定性 等价系统 Lyapunov函数 |
stability of a Class of Fourth-order Nonlinear System with Two Nonlinear Terms |
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| XING Dun-ju,WANG Guang-wa,SHEN Lei.stability of a Class of Fourth-order Nonlinear System with Two Nonlinear Terms[J].College Mathematics,2009,25(2). |
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| Authors: | XING Dun-ju WANG Guang-wa SHEN Lei |
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| Institution: | 1.Yunhe High School of Pizhou;Xuzhou;Jiangsu 221300;China;2.Department of Mathematics;Xuzhou Normal University;Jiangsu 221116;China |
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| Abstract: | This paper constructs a Lyapunov function of a class of fourth-order nonlinear system by the use of comparison method,and derives the sufficient conditions for the stability of the trivial solution to the system. |
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| Keywords: | nonlinear system stability equivalent system Lyapunov function |
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