| 叠加微分系统零解稳定条件下参数变化区域的研究 |
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| 引用本文： | 蔺小林. 叠加微分系统零解稳定条件下参数变化区域的研究[J]. 陕西科技大学学报, 2003, 21(6): 113-117 |
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| 作者姓名： | 蔺小林 |
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| 作者单位： | 陕西科技大学理学院 陕西咸阳 712081 |
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| 基金项目： | 陕西科技大学科研基金资助项目 |
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| 摘 要： | 通过对二维叠加线性微分系统零解稳定条件下参数区域变化情况的讨论，给出了在n维叠加线性及非线性微分系统零解稳定条件下可以得到参数的变化区域；举例说明参数变化区域的大小与所作的李雅普诺夫函数有关；并且说明可以通过改进所给系统的李雅普诺夫函数来扩大参数的变化区域。
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| 关 键 词： | 叠加微分系统 零解 参数变化区域 稳定条件 李雅普诺夫函数 |
| 文章编号： | 1000-5811(2003)06-0113-05 |
| 修稿时间： | 2003-01-04 |
ON PARAMETRIC VARIATION REGION UNDER THE CONDITION OF STABILITY NULL SOLUTION FOR OVERLAY DIFFERENTIAL SYSTEMS |
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| LIN Xiao-lin. ON PARAMETRIC VARIATION REGION UNDER THE CONDITION OF STABILITY NULL SOLUTION FOR OVERLAY DIFFERENTIAL SYSTEMS[J]. Journal of Shaanxi University of Science & Technology(Natural Science Edition), 2003, 21(6): 113-117 |
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| Authors: | LIN Xiao-lin |
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| Abstract: | By the discussion of parametric variation region under the condition of stability null solution for two-dimension overlay linear differential systems, we obtain some theorems to tell us how to get the parametric variation region of n -dimension linear or nonlinear autonomous differential systems that the null solution is stable. Some examples are given to illustrate the parametric variation region is large or small associated with the Laypunov function. We can get larger region by choice an appropriate Laypunov function or using other method. |
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| Keywords: | overlay differential system stability parametric variation region Laypunov function |
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