| 一类三阶非线性系统的全局渐近稳定性 |
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| 引用本文： | 杨锦坤,孙保苍,叶启海.一类三阶非线性系统的全局渐近稳定性[J].成都信息工程学院学报,2009,24(3). |
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| 作者姓名： | 杨锦坤 孙保苍 叶启海 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013 |
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| 摘 要： | 运用类比法构造Lyapunov函数,讨论了一类三阶非线性系统的稳定性,给出了其零解全局渐近稳定的充分性条件,推广了文献1,2]中的有关结论.利用Matlab进行数值仿真验证了结论的正确性,并得出一些推论.在证明过程中,去掉一般要求Lyapunov函数具有无穷大这个较强的条件,只要求系统的正半轨线有界.
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| 关 键 词： | 全局渐近稳定 Lyapunov函数 非线性系统 类比法 |
Globally asymptotic stability of a class of third-order nonlinear system |
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| YANG Jin-kun,SUN Bao-cang,YE Qi-hai.Globally asymptotic stability of a class of third-order nonlinear system[J].Journal of Chengdu University of Information Technology,2009,24(3). |
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| Authors: | YANG Jin-kun SUN Bao-cang YE Qi-hai |
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| Institution: | Faculty of Science;Jiangsu University;Zhenjiang 212013;China |
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| Abstract: | The Lyapunov function is constructed by the method of analogy and the stability of a class of third-order nonlinear system is discussed.Some sufficient conditions of the global asymptotical stability of its zero solution are obtained.It generalizes the related conclusions in Literature 1] and 2] and reaches some corollaries.The correctness of the conclusion is verified by the numerical simulation using MATLAB.In its proof it removes the stronger requirement of the Lyapunov function to rend to the infinity... |
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| Keywords: | nonlinear system globally asymptotic stability Lyapunov function analogy method |
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