| 一类四阶非线性系统的全局稳定性及MATLAB实现 |
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| 引用本文： | 徐慧,张孟秋. 一类四阶非线性系统的全局稳定性及MATLAB实现[J]. 佳木斯大学学报, 2007, 25(6): 826-827 |
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| 作者姓名： | 徐慧 张孟秋 |
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| 作者单位： | 北京工商大学嘉华学院,北京,101118;中南大学数学科学与计算技术学院,湖南,长沙,410083 |
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| 摘 要： | 在四阶常系数线性系统李雅普诺夫函数公式的基础之上,借助于MATLAB软件,通过"类比法"构造出一类四阶非线性系统的李雅普诺夫函数,并获得了该非线性系统零解全局渐近稳定的充分条件.
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| 关 键 词： | 非线性系统 李雅普诺夫函数 全局渐近稳定性 MATLAB |
| 文章编号： | 1008-1402（2007）06-0826-02 |
| 收稿时间： | 2007-10-22 |
| 修稿时间： | 2007-10-22 |
Global Stability of a Class of Fourth - order Nonlinear System and Its Matlab Realization |
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| XU Hui,ZHANG Meng-qiu. Global Stability of a Class of Fourth - order Nonlinear System and Its Matlab Realization[J]. Journal of Jiamusi University(Natural Science Edition), 2007, 25(6): 826-827 |
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| Authors: | XU Hui ZHANG Meng-qiu |
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| Abstract: | On the basis of the Lyapunov's functions of a fourth-order linear system with constant coefficients,Lyapunov's function of a class of Forth-order nonlinear system is constructed by using "comparison method" with MATLAB software.And the sufficient condition of the Global stability of the zero-solution for this nonlinear system is given. |
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| Keywords: | nonlinear system Lyapunov's function global stability MATLAB |
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