Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (6): 811-816 .doi: https://doi.org/10.1007/s10483-008-0612-x

• Articles • 上一篇    下一篇

基于LMI的时滞细胞神经网络的全局渐近稳定性分析

刘德友,张建华,关新平,肖晓丹   

  1. 燕山大学理学院,河北 秦皇岛 066004
  • 收稿日期:2006-08-23 修回日期:2008-04-21 出版日期:2008-06-18 发布日期:2008-06-18
  • 通讯作者: 刘德友

Global asymptotic stability of cellular neural networks with delay

LIU De-you,ZHANG Jian-hua,GUAN Xin-ping,XIAO Xiao-dan   

  1. College of Science, Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China
  • Received:2006-08-23 Revised:2008-04-21 Online:2008-06-18 Published:2008-06-18
  • Contact: LIU De-you

摘要: 研究了一类具有时滞的细胞神经网络问题,利用Liapunov-Krasovskii泛函的方法,给出了时滞相关的稳定性判据。稳定性判据是以线性矩阵不等式(LMI)的形式给出,可以很容易得出时滞的上界。在得到时滞相关的稳定性判据的同时也可以得到时滞无关的稳定性判据,包含了已有文章中的很多结果。最后,数值算例说明了结果的优越性。

Abstract: A global asymptotic stability problem of cellular neural networks with delay is investigated. A new stability condition is presented based on the Lyapunov-Krasovskii method, which is dependent on the amount of delay. A result is given in the form of a linear matrix inequality, and the admitted upper
bound of the delay can be easily obtained. The time delay dependent
and independent results can be obtained, which include some previously published results. A numerical example is given to show the effectiveness of the main results.

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