| 一类四阶非线性系统的全局渐近稳定性 |
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| 引用本文： | 康慧燕,斯力更.一类四阶非线性系统的全局渐近稳定性[J].大学数学,2009,25(1). |
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| 作者姓名： | 康慧燕 斯力更 |
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| 作者单位： | 1. 江苏工业学院,数理学院,江苏,常洲,213016
2. 内蒙古师范大学,数学系,内蒙古,呼和浩特,010022 |
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| 摘 要： | 运用类比法,构造了一类四阶非线性系统的李雅普诺夫函数,得到其平凡解全局渐近稳定的充分性准则,推广并改进了有关这类系统的其它结果.
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| 关 键 词： | 李雅普诺夫函数 非线性系统 全局渐近稳定 |
Global Asymptotical Stability of a Class of Fourth-Order Nonlinear System |
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| KANG Hui-yan,SI Li-geng.Global Asymptotical Stability of a Class of Fourth-Order Nonlinear System[J].College Mathematics,2009,25(1). |
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| Authors: | KANG Hui-yan SI Li-geng |
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| Institution: | 1.Department of Mathematics and Physics;Jiangsu Polytechnic University;CHangzhou 213016;China;2.Department of Mathematics;Inner Mongolia Normal University;Huhhot 010022;China |
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| Abstract: | This paper has made up a Liapunov's function of a class of fourth-order nonlinear system by the use of Liapunov's second method,and some sufficient conditions of global asymptotical stability of the zero solution are given,and then the other results in the references are improved. |
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| Keywords: | Liapunov function nonlinear system global asymptotical stability |
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