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具有時(shí)滯的細(xì)胞神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性

張強(qiáng),  馬潤(rùn)年,  許進(jìn)

張強(qiáng), 馬潤(rùn)年, 許進(jìn). 具有時(shí)滯的細(xì)胞神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性[J]. 電子與信息學(xué)報(bào), 2002, 24(4): 479-485.
引用本文: 張強(qiáng), 馬潤(rùn)年, 許進(jìn). 具有時(shí)滯的細(xì)胞神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性[J]. 電子與信息學(xué)報(bào), 2002, 24(4): 479-485.
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.

具有時(shí)滯的細(xì)胞神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性

Stability of cellular neural networks with delay

  • 摘要: 該文研究了具有時(shí)滯的細(xì)胞神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性問(wèn)題,運(yùn)用Lyapunov泛函法和Razumikhin法分別給出了時(shí)滯細(xì)胞神經(jīng)網(wǎng)絡(luò)全局漸近穩(wěn)定的兩個(gè)新的充分條件。其中,第一個(gè)條件與時(shí)延無(wú)關(guān),而第二個(gè)條件與時(shí)延有關(guān)。獲得的定理推廣了已有文獻(xiàn)中的結(jié)果,對(duì)于時(shí)滯細(xì)胞神經(jīng)網(wǎng)絡(luò)的硬件設(shè)計(jì)具有一定的指導(dǎo)意義。
    Abstract: 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]張強(qiáng),許進(jìn),細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性,電子科學(xué)學(xué)刊,2000,22(3),434-438.[3]曹進(jìn)德,具時(shí)延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的全局漸近穩(wěn)定性分析,電子科學(xué)學(xué)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]盧宏濤,何振亞,帶時(shí)延的細(xì)胞神經(jīng)網(wǎng)絡(luò)的無(wú)條件穩(wěn)定性,電子學(xué)報(bào),1997,25(1),1-4.[6]廖曉昕,細(xì)胞神經(jīng)網(wǎng)絡(luò)的數(shù)學(xué)理論(I),中國(guó)科學(xué),A輯,1994,24(9),902-910.[7]秦元?jiǎng)?劉永清,王聯(lián),鄭祖庥,帶有時(shí)滯的動(dòng)力系統(tǒng)的運(yùn)動(dòng)穩(wěn)定性(第二版),北京,科學(xué)出版社,1989,325-330.[8]廖曉昕,Hopfield型神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性,中國(guó)科學(xué),A輯,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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出版歷程
  • 收稿日期:  2000-09-25
  • 修回日期:  2000-12-25
  • 刊出日期:  2002-04-19

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