| 一类时滞动态网络的稳定性分析 |
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| 引用本文： | 涂俐兰,徐树立,蒋君.一类时滞动态网络的稳定性分析[J].武汉科技大学学报(自然科学版),2007,30(4):430-433. |
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| 作者姓名： | 涂俐兰 徐树立 蒋君 |
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| 作者单位： | 武汉科技大学理学院,湖北,武汉,430081 |
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| 基金项目： | 湖北省教育厅科研项目;武汉科技大学校科研和教改项目 |
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| 摘 要： | 引入一类时滞动态网络模型，分析该网络在平衡点的稳定性。基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。该条件不仅与时滞无关，而且简单易行。数值模拟分析表明，该结果是可行且有效的。
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| 关 键 词： | 时滞动态网络 时滞微分不等式 渐近指数稳定性 |
| 文章编号： | 1672-3090（2007）04-0430-04 |
| 修稿时间： | 2007-01-16 |
Stability of a type of time delay dynamic networks |
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| Tu Lilan,Xu Shuli,Jiang Jun.Stability of a type of time delay dynamic networks[J].Journal of Wuhan University of Science and Technology(Natural Science Edition),2007,30(4):430-433. |
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| Authors: | Tu Lilan Xu Shuli Jiang Jun |
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| Institution: | College of Science, Wuhan University of Science and Technology, Wuhan 430081, China |
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| Abstract: | A type of time-delay dynamic networks is introduced and the stability conditions of the networks are investigated. Based on the delay differential inequality, some simple and useful criteria for the networks to be exponentially stable at equilibrium are presented. The conditions are both delay-independent and simple. Numerical simulations have proven the effectiveness and feasibility of the proposed synchronous conditions. |
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| Keywords: | time-delay dynamic network delay differential inequality asymptotically exponentially stable |
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