| 能量度量算法的应用 |
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| 引用本文： | 卢德渊.能量度量算法的应用[J].贵州师范大学学报(自然科学版),1995,13(2):7-13. |
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| 作者姓名： | 卢德渊 |
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| 作者单位： | 贵州师大数学系 |
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| 摘 要： | 沃尔（Ｗａｌｌ）［１］用能量度量算法讨论了三阶非线性微分方程ｘ＋（１＋ｘ２）ｘ＋ｘ＋ｘ＝０的全局稳定性。本文也用同样的方法给出了两类非线性系统全局稳定性的充分条件，推广了沃尔（Ｗａｌｌ）的结果。
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| 关 键 词： | 能量度量算法，非线性系统，全局稳定性 |
THE APPLICATION OF ENERGY METRIC ALGORITHM |
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| Lu De yuan.THE APPLICATION OF ENERGY METRIC ALGORITHM[J].Journal of Guizhou Normal University(Natural Sciences),1995,13(2):7-13. |
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| Authors: | Lu De yuan |
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| Abstract: | In reference1], E. T. Wall has discussed the global stability of the third order nonlinear differential equation x + (1 +x2)x+x+x= 0 by means of energy metric algorithm. In this peper, we give some sufficient conditions of the global stability for two class of nonlinear system, by means of same method, and have extended E. T. Walll's result. |
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| Keywords: | Energy metric algorithm Notilinear system Global stability |
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