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時延細(xì)胞神經(jīng)網(wǎng)絡(luò)的漸近穩(wěn)定性條件

廖曉峰,  吳中福,  虞厥邦

廖曉峰, 吳中福, 虞厥邦. 時延細(xì)胞神經(jīng)網(wǎng)絡(luò)的漸近穩(wěn)定性條件[J]. 電子與信息學(xué)報, 2001, 23(1): 45-52.
引用本文: 廖曉峰, 吳中福, 虞厥邦. 時延細(xì)胞神經(jīng)網(wǎng)絡(luò)的漸近穩(wěn)定性條件[J]. 電子與信息學(xué)報, 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.

時延細(xì)胞神經(jīng)網(wǎng)絡(luò)的漸近穩(wěn)定性條件

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

  • 摘要: 該文利用一個新的Liapunov函數(shù),討論了帶時延細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性,得到了一些判定網(wǎng)絡(luò)的全局漸近穩(wěn)定新的充分條件,所得到的結(jié)果較之P.P.Civalleri等人的結(jié)果簡單和實用且對于具體設(shè)計帶時延細(xì)胞神經(jīng)網(wǎng)絡(luò)有重要的指導(dǎo)意義。
    Abstract: 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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  • 文章訪問數(shù):  1989
  • HTML全文瀏覽量:  110
  • PDF下載量:  562
  • 被引次數(shù): 0
出版歷程
  • 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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