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时延细胞神经网络的渐近稳定性条件

廖晓峰 吴中福 虞厥邦

廖晓峰, 吴中福, 虞厥邦. 时延细胞神经网络的渐近稳定性条件[J]. 电子与信息学报, 2001, 23(1): 45-52.
引用本文: 廖晓峰, 吴中福, 虞厥邦. 时延细胞神经网络的渐近稳定性条件[J]. 电子与信息学报, 2001, 23(1): 45-52.
Liao Xiaofeng, Wu Zhongfu, Yu Juebang. NOVEL CONDITIONS OF ASYMPTOTIC STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(1): 45-52.
Citation: Liao Xiaofeng, Wu Zhongfu, Yu Juebang. NOVEL CONDITIONS OF ASYMPTOTIC STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(1): 45-52.

时延细胞神经网络的渐近稳定性条件

NOVEL CONDITIONS OF ASYMPTOTIC STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME DELAY

  • 摘要: 该文利用一个新的Liapunov函数,讨论了带时延细胞神经网络的全局渐近稳定性,得到了一些判定网络的全局渐近稳定新的充分条件,所得到的结果较之P.P.Civalleri等人的结果简单和实用且对于具体设计带时延细胞神经网络有重要的指导意义。
  • L.O.Chua,L.Yang,Cellular neural network: Theory,IEEE Trans.on CAS-I,1988,35(10),1275-1272.[2]L.O.Chua,T.Roska,The CNN paradigm.IEEE Trans.on CAS-I,1993,40(2),147-156.[3]T.Roska,L.O.Chua,The CNN universal machine: Analogic array computer.IEEE Trans.on CAS-I,1993,40(2),163-173.[4]P.Paolo Civalleri,et al.,On stability of cellular neural networks with delay,IEEE Trans.on CAS-I,1993,40(3),157-164.[5]M.Gilli,Stability of cellular neural network and delayed cellular neural networks with non-positive templates and non-monotonic output functions.IEEE Trans.on CAS-I,1994,41(6),518-528.[6]T.Roska,L.O.Chua,Cellular neural networks with delay-type template elements and non-uniform grids,Int.J.Cir.Theory and Appl.,1992,20,469-481.[7]T.Rosks,C.W.Wu,M.Balsi,L.O.Chua,Stability and dynamics of delay-type general and cellular neural networks,IEEE Trans.on CAS-I,1992,39(5),487-490.[8]T.Rosks,C.W.Wu,L.O.Chua,Stability of cellular neural networks with dominant nonlinear and delay-type templates,IEEE Trans.on CAS-I,1993,40(3),270-272.[9]S.Arik,V.Tavsanoglu,Equilibrium analysis of delayed CNNs,IEEE Trans.on CAS-I,1998,45(3),168-170.[10]Liao Xiaofeng,Yu Juebang,Global exponential stability and periodic solution of delay-type cellular neural networks,Int.J.Cir.Theory and Appl.,to appear.[11]Liao Xiaofeng,Yu Juebang,Stability analyses of cellular neural networks with continuous time delay,IEEE Trans.on CAS-I,to appear.
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出版历程
  • 收稿日期:  1999-04-29
  • 修回日期:  1999-10-27
  • 刊出日期:  2001-01-19

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