| 延时微分代数方程的稳定性准则(英文) |
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| 引用本文： | 刘玲玲,范妮,孙乐平.延时微分代数方程的稳定性准则(英文)[J].上海师范大学学报(自然科学版),2014,43(1):37-43. |
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| 作者姓名： | 刘玲玲 范妮 孙乐平 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | Foundation item： The research is supported by the Scientific Computing Key Laboratory of Shanghai University. |
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| 摘 要： | 主要研究延时微分代数方程的渐近稳定性.并利用在一个环形区域边界上对一种相应的调和函数的估计来描述这两种准则.
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| 关 键 词： | 特征值 矩阵范数 谱半径 边界准则 调和函数 渐近稳定 对数范数 |
| 收稿时间： | 2013/10/10 0:00:00 |
Stability criteria for delay differential-algebraic equations |
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| LIU Lingling,FAN Ni and SUN Leping.Stability criteria for delay differential-algebraic equations[J].Journal of Shanghai Normal University(Natural Sciences),2014,43(1):37-43. |
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| Authors: | LIU Lingling FAN Ni and SUN Leping |
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| Institution: | (College of Mathematics and Sciences,Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | The asymptotic stability of delay differential-algebraic equations are researched in this pa-per.Two stability criteria described by evaluating a corresponding harmonic function on the boundary of a torus region are presented. |
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| Keywords: | eigenvalue matrix norm spectral radius boundary criteria harmonic function as-ymptotic stability logarithmic norm |
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