引用本文:李 涛,费树岷,王 婷,朱 清.连续分布时滞Cohen-Grossberg神经网络渐近稳定性准则[J].控制理论与应用,2009,26(2):197~202.[点击复制]
LI Tao,FEI Shu-min,WANG Ting,ZHU Qing.Criteria on asymptotical stability of Cohen-Grossberg neural networks with continuously distributed time-delay[J].Control Theory and Technology,2009,26(2):197~202.[点击复制]
连续分布时滞Cohen-Grossberg神经网络渐近稳定性准则
Criteria on asymptotical stability of Cohen-Grossberg neural networks with continuously distributed time-delay
摘要点击 1757  全文点击 1127  投稿时间：2007-04-16  修订日期：2008-05-15
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DOI编号  10.7641/j.issn.1000-8152.2009.2.017
  2009,26(2):197-202
中文关键词  渐近稳定性  描述系统  Cohen-Grossberg神经网络  连续分布时滞  线性矩阵不等式(LMI)
英文关键词  asymptotical stability  descriptor system  Cohen-Grossberg neural networks  continuously distributed delay  linear matrix inequality(LMI)
基金项目  国家自然科学基金资助项目(60574006); 高校博士点专项基金资助项目(20070286039).
作者单位E-mail
李 涛 东南大学 复杂工程系统测量与控制教育部重点实验室, 江苏 南京 210096 fengtailitao@yahoo.com.cn 
费树岷 东南大学 复杂工程系统测量与控制教育部重点实验室, 江苏 南京 210096 smfei@seu.edu.cn 
王 婷 安庆师范学院 数学与计算科学学院, 安徽 安庆 246011  
朱 清 东南大学 复杂工程系统测量与控制教育部重点实验室, 江苏 南京 210096  
中文摘要
      通过选取一个新颖的Lyapunov-Krasovskii泛函和引入所考虑系统的等价描述系统, 讨论了具有时变和连续分布时滞Cohen-Grossberg神经网络的渐近稳定性问题. 在变时滞导函数有上界时, 给出能判定系统是渐近稳定时滞相关的充分性条件. 该条件以线性矩阵不等式形式给出, 易于用MATLAB工具箱LMI进行检验. 最后, 数值例子说明了所得结论的有效性.
英文摘要
      Choosing a novel Lyapunov-Krasovskii functional and introducing the equivalent descriptor system, we investigate the asymptotical stability for the Cohen-Grossberg neural networks with time-varying and continuously distributed time-delays. When the derivative of the time-varying delay has an upper bound, a delay-dependent sufficient condition is obtained to guarantee the asymptotical stability of the above systems. The condition is presented in terms of LMIs, which can be checked easily by using LMI in MATLAB toolbox. Finally, numerical examples demonstrate the effectiveness of the proposed methods.