| 中立型多延时微分代数系统线性多步法的渐近稳定性 |
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| 引用本文： | 喻全红,孙乐平.中立型多延时微分代数系统线性多步法的渐近稳定性[J].淮北煤炭师范学院学报(自然科学版),2008,29(3). |
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| 作者姓名： | 喻全红 孙乐平 |
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| 作者单位： | 1. 上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234
2. 上海师范大学数理信息学院,上海,200234 |
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| 摘 要： | 文章讨论了用线性多步法求解线性中立型多延时微分代数系统的渐近稳定性．通过分析相应的特征方程根的性质，得出一个线性多步法渐近稳定的充分条件：线性多步法是A稳定的，并且它的第二特征多项式的根的模不等于1．
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| 关 键 词： | 中立型延时微分代数系统 线性多步法 A稳定 渐近稳定 |
Asymptotic Stability of Linear Multistep Methods for Neutral Differential-Algebraic Equations with Many Delays |
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| YU Quan-hong,SUN Le-ping.Asymptotic Stability of Linear Multistep Methods for Neutral Differential-Algebraic Equations with Many Delays[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2008,29(3). |
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| Authors: | YU Quan-hong SUN Le-ping |
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| Abstract: | This paper discussed the asymptotic stability of linear muhistep methods for the numerical solution of linear constant coefficient neutral differential-algebraic equations with many delays. By studying the roots of corresponding characteristic equation, we obtained that the linear muhistep method is asymptotically stable ff it is A-stable and its second characteristic polynomial has no root z with | z | = 1. |
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| Keywords: | neutral delay differential-algebraic equations linear multistep methods A-stable asymptotic stability |
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