| 一类微分模型周期解的指数稳定性 |
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| 引用本文： | 李业联,吴磊.一类微分模型周期解的指数稳定性[J].兰州大学学报(自然科学版),2005,41(6):115-118. |
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| 作者姓名： | 李业联 吴磊 |
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| 作者单位： | 中国人民解放军炮兵学院基础部,安徽,合肥,230031;合肥工业大学,理学院,安徽,合肥,230009 |
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| 摘 要： | 使用不等式和李雅普诺夫函数方法,在简洁的假设条件下得到一类变时滞变系数的神经网络模型周期解的存在唯一性与全局指数稳定性的结论.最后,用一个具体例子验证了理论的正确性.
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| 关 键 词： | 不等式 全局指数稳定性 周期解 时滞 李雅普诺夫函数 |
| 文章编号： | 0455-2059（2005）06-0115-04 |
| 收稿时间： | 01 13 2004 12:00AM |
| 修稿时间： | 2004-01-13 |
Exponential stability of solutions for differential model |
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| LI Ye-lian,WU Lei.Exponential stability of solutions for differential model[J].Journal of Lanzhou University(Natural Science),2005,41(6):115-118. |
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| Authors: | LI Ye-lian WU Lei |
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| Institution: | 1. Basic Department, Artillery Academy of PLA, Hefei, 230031, China; 2. School of Science, Hefei University of Technology, Hefei, 230009, China |
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| Abstract: | In this letter, by using the inequality method and the Lyapunov functional method, we have analyzed the globally exponential stability and the existence of periodic solutions of a class of cellular neutral networks with delays and variable coefficients. Some simple and new sufficient conditions ensuring the existence and uniqueness of globally exponential stability of periodic solutions for cellular neutral networks with variable coefficients and delays are obtained. In addition, one example is also worked out to illustrate our theory. |
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| Keywords: | inequality method global exponential stability periodic solution delays Lyapunov function |
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