| 一类多时变时滞中立微分方程的时滞相关稳定性准则 |
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| 引用本文： | 杨瑞珍,包俊东,田志坤. 一类多时变时滞中立微分方程的时滞相关稳定性准则[J]. 内蒙古大学学报(自然科学版), 2010, 41(1) |
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| 作者姓名： | 杨瑞珍 包俊东 田志坤 |
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| 作者单位： | 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region(No.200711020104)~~ |
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| 摘 要： | 考虑一类同时含有多离散时滞和多时变中立时滞的中立微分方程解的渐近稳定性,得到了该方程解稳定的充分条件,它不仅依赖于多离散时滞,而且依赖于多中立时滞.这个时滞相关稳定性准则通过线性矩阵不等式表示,可以应用各种凸组合技术进行处理.最后,给出一个利用Matlab工具箱求解的算例,表明该稳定性准则的有效性.
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| 关 键 词： | 渐近稳定性 中立微分方程 时变时滞 线性矩阵不等式 |
Delay-Dependent Criterion for Asymptotic Stability of a Class of Time Varying Multi-Delay Neutral Equations |
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| YANG Rui-zhen,BAO Jun-dong,TIAN Zhi-kun. Delay-Dependent Criterion for Asymptotic Stability of a Class of Time Varying Multi-Delay Neutral Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(1) |
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| Authors: | YANG Rui-zhen BAO Jun-dong TIAN Zhi-kun |
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| Affiliation: | College of Mathematics Science/a>;Inner Mongolia Normal University/a>;Hohhot 010022/a>;China |
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| Abstract: | A sufficient condition of asymptotical stability for a class of time varying multi-delay neutral differential equations is established.The condition which not only depends on the discrete delays but also on the neutral delays is expressed in terms of linear matrix inequality.The criterion can be solved by various efficient convex optimization algorithms.In the end,a numerical example given by utilizing Matlab toolbox illustrates the feasibility of the criterion. |
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| Keywords: | asymptotic stability neutral differential equation time varying delay linear matrix inequality |
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