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Volume 24 Issue 4
Apr.  2002
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Zhang Qiang, Ma Runnian, Xu Jin. Stability of cellular neural networks with delay[J]. Journal of Electronics & Information Technology, 2002, 24(4): 479-485.
Citation: Zhang Qiang, Ma Runnian, Xu Jin. Stability of cellular neural networks with delay[J]. Journal of Electronics & Information Technology, 2002, 24(4): 479-485.

Stability of cellular neural networks with delay

  • Received Date: 2000-09-25
  • Rev Recd Date: 2000-12-25
  • Publish Date: 2002-04-19
  • In this paper, the problem of stability for the cellular neural networks(CNNs) with delay is studied. Two types of sufficient conditions for global asymptotic stability of cellular neural networks with delay are obtained by means of Lyapunov functional approach and the method of Razumikhin function. One type involves delay dependent results while the other type of results does not involve delays. The conditions obtained improve the existed results and may offer some referrence to the design of CNNs with delay.
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  • L.O. Chua, L. Yang, Cellular neural networks: Theory and applications, IEEE Trans. on Circuits and Syst., 1988, 35(10), 1257-1290.[2]张强,许进,细胞神经网络的全局指数稳定性,电子科学学刊,2000,22(3),434-438.[3]曹进德,具时延的细胞神经网络的全局渐近稳定性分析,电子科学学刊,2000,22(2),253-258[4]P.P. Civalleri, M. Gilli, L. Pabdolfi, On stability of cellular neural networks with delay, IEEE Trans. on Circuits and Syst., 1993, 40(3), 157-165.[5]卢宏涛,何振亚,带时延的细胞神经网络的无条件稳定性,电子学报,1997,25(1),1-4.[6]廖晓昕,细胞神经网络的数学理论(I),中国科学,A辑,1994,24(9),902-910.[7]秦元勋,刘永清,王联,郑祖庥,带有时滞的动力系统的运动稳定性(第二版),北京,科学出版社,1989,325-330.[8]廖晓昕,Hopfield型神经网络的稳定性,中国科学,A辑,1993,23(10),1025-1035.[9]T. Roska, C. W. Wu, L. O. Chua, Stability of cellular neural networks with dominant nonlinear and delay-type templates, IEEE Trans. on Circuits and Syst., 1993, 40(4), 270-272.[10]C.A. Desoer, M. Vidyasager, Feedback Systems: Input-Output Properties, New York, Academic,1975, 225-240.[11]S. Arik, V. Tavsanoglu, A sufficient condition for global stability of cellular neural networks with delay, Proc. IEEE Int. Symp. Circuits and Systems, Hong Kong, 9-12, June 1997, 549-552.
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