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Generalized LMI-based approach to global asymptotic stability of cellular neural networks with delay
Authors:LIU De-you  ZHANG Jian-hua  GUAN Xin-ping  XIAO Xiao-dan
Affiliation:College of Science, Yanshan University, Qinhuangdao 066004, Hebei Province, P. R. China
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 ofa linear matrix inequdlity,and the admitted upper bound of the delay can be easily obtained.The time delay dependent and independent results can be obtained,which include flome previously published resultS.A numerical example is given to show the effectiveness of the main results.
Keywords:delayed cellular neural networks(DCNNs)  linear matrix inequality(LMI)  global stability
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