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

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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

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.

2010 MSC Number: 

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