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一类时滞反应扩散Cohen-Grossberg神经网络的稳定性 被引量:2

Stability of Delayed Cohen-Grossberg Neural Networks with Reaction-Diffusion Terms
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摘要 利用Lyapunov泛函研究一类时滞反应扩散Cohen Grossberg神经网络平衡点的全局指数稳定性,给出了一些代数判据. In this paper,the stability of equilibrum point of Cohen-Grossberg neural networks model with reaction-diffusion terms of the form u_i(x,t)t=∑nk=1x_kD_(ik)u_ix_k-a_i(u_i(t))b_i(u_i(t))-∑nj=1T_(ij)f_j(u_j(t-τ_j(t),x) is investigated.By means of a new type of Lyapunov functionals,some sufficient conditions for global exponential stability of equilibrum are obtained.
出处 《徐州师范大学学报(自然科学版)》 CAS 2004年第2期14-18,共5页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 徐州师范大学自然科学基金资助项目(03XLA01)
关键词 时滞反应扩散Cohen-Grossberg神经网络 李雅普诺夫泛函 全局指数稳定性 自治泛函微分方程 neural network delay reaction-diffusion Lyapunov functional global exponential stability
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参考文献3

  • 1[1]Cohen M A,Grossberg S.Stability and global pattern formatiom and memory storage by competitive neural networks[J].IEEE Trans:On System Man and Cybern,1983,13(5):815.
  • 2曹进德.时延细胞神经网络的指数稳定性和周期解[J].中国科学(E辑),2000,30(6):541-549. 被引量:29
  • 3[3]Lu Wenlian,Chen Tianping.New conditions on global stability of Cohen-Grossberg neural networks[J].Neural Computation,2003,15(5):1173.

二级参考文献3

共引文献28

同被引文献7

  • 1[1]H.Zhao,J.Cao.New conditions for global exponential stability of cellular neural networks with delays[J].Neural Networks,2005,(18):1332-1340.
  • 2[2]J.cao,K.Yuan.Global exponential stability of C ohen-Grossberg neural networks with multiple time-varying delays[J].International Symposium on Neural Networks,2004,(8):78-83.
  • 3[3]Z.Chen,J.Ruan.Global stability analysis of impulsive Cohen-Grossberg neural networks with delay[J].Physics Letters A,2005,(345):101-111.
  • 4[4]L.Wang,X.Zou.Exponential stability of Cohen-Grossberg neural networks[J].Neural Networks,2002,(15):415-422.
  • 5[5]J.sun,L.Wan.Global exponential stability and periodic solutions of Cohen-Grossberg neural networks with continuously distributed delays[J].Physica D,2005,(208):1-20.
  • 6[7]L.Wang,D.Xu.Global exponential stability of reaction-diffusion Hopfield neural networks with time-varyingdelays[J].Science in China SeriesE,2003,(33):87-94.
  • 7[8]J.Liang,J.Cao.Global exponential stability of reaction-diffusion neural networks with time-varying delays[J].Physical Letters A,2003,(314):434-442.

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