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具时滞的Hopfield网络周期解的指数稳定性
引用本文:向红军,王金华. 具时滞的Hopfield网络周期解的指数稳定性[J]. 数学季刊, 2008, 23(2)
作者姓名:向红军  王金华
作者单位:Department of Mathematics,Xiangnan University,Chenzhou 423000,China 
摘    要:

关 键 词:具时滞  Hopfield  网络周期解  指数稳定性

Exponential Stability of Periodic Solution for Delayed Hopfield Networks
XIANG Hong-jun,WANG Jin-hua. Exponential Stability of Periodic Solution for Delayed Hopfield Networks[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2)
Authors:XIANG Hong-jun  WANG Jin-hua
Affiliation:Department of Mathematics, Xiangnan University, Chenzhou 423000, China
Abstract:The paper is devoted to periodic attractor of delayed Hopfield neural networks with time-varying.By constructing Lyapunov functionals and using inequality techniques,some new sufficient criteria are obtained to guarantee the existence and global exponential stability of periodic attractor.Our results improve and extend some existing ones in[13~14].One example is also worked out to demonstrate the advantages of our results.
Keywords:Hopfield neural networks  global exponential stability  Lyapunov functional  periodic solution
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