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時(shí)延不對稱Hopfield神經(jīng)網(wǎng)絡(luò)的穩(wěn)定條件及其應(yīng)用

楊煜普,  陳亞軍,  許曉鳴

楊煜普, 陳亞軍, 許曉鳴. 時(shí)延不對稱Hopfield神經(jīng)網(wǎng)絡(luò)的穩(wěn)定條件及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 1999, 21(1): 66-71.
引用本文: 楊煜普, 陳亞軍, 許曉鳴. 時(shí)延不對稱Hopfield神經(jīng)網(wǎng)絡(luò)的穩(wěn)定條件及其應(yīng)用[J]. 電子與信息學(xué)報(bào), 1999, 21(1): 66-71.
Yang Yupu, Chen Yajun, Xu Xiaoming. STABILITY CONDITIONS OF ASYMMETRIC HOPFIELD NEURAL NETWORKS WITH TIME-DELAY AND ITS APPLICATION[J]. Journal of Electronics & Information Technology, 1999, 21(1): 66-71.
Citation: Yang Yupu, Chen Yajun, Xu Xiaoming. STABILITY CONDITIONS OF ASYMMETRIC HOPFIELD NEURAL NETWORKS WITH TIME-DELAY AND ITS APPLICATION[J]. Journal of Electronics & Information Technology, 1999, 21(1): 66-71.

時(shí)延不對稱Hopfield神經(jīng)網(wǎng)絡(luò)的穩(wěn)定條件及其應(yīng)用

STABILITY CONDITIONS OF ASYMMETRIC HOPFIELD NEURAL NETWORKS WITH TIME-DELAY AND ITS APPLICATION

  • 摘要: 本文對具有時(shí)延的不對稱Hopfield型神經(jīng)網(wǎng)絡(luò)平衡點(diǎn)的穩(wěn)定性進(jìn)行了分析,得到了網(wǎng)絡(luò)平衡點(diǎn)全局漸近穩(wěn)定的一些充分條件,最后我們說明了分析結(jié)果在網(wǎng)絡(luò)設(shè)計(jì)和參數(shù)選擇中的應(yīng)用。
    Abstract: In this paper, the global asymptotic stability of equilibrium point for asymmetric Hopfield neural networks with time-delay is discussed, and the sufficient conditions for global asymptotic stability of the equilibrium point are obtained. Finally, the applications of these results in the design and the parameter selection of neural networks are illustrated.
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  • Marcus C M, Westervelt R M. Stability of analog neural networks with delay[J].Physical Review A.1989, 39(2):347-359[2]Denker J S. Neural networks for computing. in Proceeding of Conference of Nerual Networks for Computer, Berlin: 1986, 346-349.[3]Baldi P, Atiya A F. How delay affect neural dynamics and learning[J].IEEE Trans. on Nerual Networks.1994, 5(4):612-621[4]Civalleri P P, Gilli M. On stability of cellular neural networks with delay. IEEE Trans. on Circuits and Systems I. 1993, 40(2): 157-165.[5]阮明.具有時(shí)延的神經(jīng)網(wǎng)絡(luò)的穩(wěn)定動(dòng)力學(xué)行為分析.復(fù)旦學(xué)報(bào),1995, 34(2): 121-126.[6]Ye H, Michel A N, Wang K. (qualitative analysis of Hopfield with delay, global and local results. Proc. IEEE Int. Symp. Circuits and Systems, New York: 1995, 12, 1136-1139.[7]Gopulsamy K, He X. Stability in asymmetric Hopfield net with transmission delay[J].Physica D.1994, 76(2):344-358[8]Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural networks[J].International Journal of System Science.1996, 27(2):227-231[9]陳亞軍,等.不對稱時(shí)延Hopfield神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性及收斂速度的估計(jì).電子學(xué)報(bào),已錄用.[10]梁學(xué)斌,吳立德.Hopfeild型神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性及其應(yīng)用.中國科學(xué)(A輯),1995, 25(5): 523-532.[11]Ye H, Michel A N, Wang K. Robust stability of nonlinear time-delay system with applications to neural netowrks[J].IEEE Trans. on Circuits and system.1996, 43(7):532-543
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出版歷程
  • 收稿日期:  1997-06-10
  • 修回日期:  1998-03-09
  • 刊出日期:  1999-01-19

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