| 数值求解多延迟中立型系统的渐近稳定性 |
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| 引用本文： | 丛玉豪,许丽,匡蛟勋.数值求解多延迟中立型系统的渐近稳定性[J].系统仿真学报,2006,18(12):3387-3389,3406. |
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| 作者姓名： | 丛玉豪 许丽 匡蛟勋 |
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| 作者单位： | 1. 上海师范大学数学系,上海,200234;上海高校计算科学E-研究院,上海,200234
2. 上海师范大学数学系,上海,200234 |
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| 基金项目： | 上海市教委资助项目;上海市教委资助项目;上海市科委科研基金;国家自然科学基金;上海市教委资助项目 |
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| 摘 要： | 给出并证明了多延迟中立型系统渐近稳定的克分条件；分析了用线性多步法求解多延迟中立型系统数值解的稳定性，基于Lagrange插值，证明了数值求解多延迟中立型系境的线性多步法渐近稳定的充分必要条件是它是A-稳定的．
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| 关 键 词： | 线性多步法 中立型延迟系统 渐近稳定性 A-稳定性 |
| 文章编号： | 1004-731X（2006）12-3387-03 |
| 收稿时间： | 2006-02-12 |
| 修稿时间： | 2006-02-122006-05-10 |
Asymptotic Stability of Numerical Methods for Neutral Delay Differential Equations with Multiple Delays |
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| CONG Yu-hao,XU Li,KUANG Jiao-xun.Asymptotic Stability of Numerical Methods for Neutral Delay Differential Equations with Multiple Delays[J].Journal of System Simulation,2006,18(12):3387-3389,3406. |
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| Authors: | CONG Yu-hao XU Li KUANG Jiao-xun |
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| Institution: | 1 .Department of Mathematics, Shanghai Normal University, Shanghai 200234, China; 2.Division of computational Science, E-Institute of Shanghai Universities, Shanghai 200234, China |
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| Abstract: | The sufficient condition which analytical solution of neutral delay differential equations with multiple delays is asymptotically stable was given; the asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays was discussed. By Lagrange Interpolation, it is shown that linear multistep methods are asymptotically stable if and only if it is A-stable. |
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| Keywords: | linear multistep method neutral delay differential equations asymptotic stability A-stability |
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