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Volume 23 Issue 1
Jan.  2001
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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.

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

  • Received Date: 1999-04-29
  • Rev Recd Date: 1999-10-27
  • Publish Date: 2001-01-19
  • In this paper, global asymptotic stability for cellular neural networks with time delay is discussed using a novel Liapunov function. Some novel sufficient conditions for global asymptotic stability are obtained. Those results are simple and practical than given by P. P. Civalleri et al, and have a leading importance to design cellular neural networks with time delay.
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  • 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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