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高階Hopfield型神經(jīng)網(wǎng)絡(luò)的吸引域和指數(shù)收斂速度的估計(jì)

徐炳吉,  周倫,  廖曉昕,  劉新芝

徐炳吉, 周倫, 廖曉昕, 劉新芝. 高階Hopfield型神經(jīng)網(wǎng)絡(luò)的吸引域和指數(shù)收斂速度的估計(jì)[J]. 電子與信息學(xué)報(bào), 2002, 24(5): 671-677.
引用本文: 徐炳吉, 周倫, 廖曉昕, 劉新芝. 高階Hopfield型神經(jīng)網(wǎng)絡(luò)的吸引域和指數(shù)收斂速度的估計(jì)[J]. 電子與信息學(xué)報(bào), 2002, 24(5): 671-677.
Xu Bingji, Zhou Lun, Liao Xiaoxin, Liu Xinzhi. Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks[J]. Journal of Electronics & Information Technology, 2002, 24(5): 671-677.
Citation: Xu Bingji, Zhou Lun, Liao Xiaoxin, Liu Xinzhi. Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks[J]. Journal of Electronics & Information Technology, 2002, 24(5): 671-677.

高階Hopfield型神經(jīng)網(wǎng)絡(luò)的吸引域和指數(shù)收斂速度的估計(jì)

Estimation of attraction domain and exponential convergence rate for high order Hopfield type neural networks

  • 摘要: 利用 Lyapunov方法,對(duì)高階連續(xù) Hopfield型神經(jīng)網(wǎng)絡(luò)平衡點(diǎn)的局部指數(shù)穩(wěn)定性進(jìn)行研究,得到了該網(wǎng)絡(luò)平衡點(diǎn)的吸引域及其中每點(diǎn)趨向于平衡點(diǎn)的指數(shù)收斂速度的估計(jì)結(jié)果。
    Abstract: In this paper, the locally exponential stability of equilibrium point for a class of high order Hopfield type neural networks is studied by means of Lyapunov function. Some results about estimation of the attraction domain and exponential convergence rate of the network trajectories to equilibrium point of such networks are obtained.
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  • A. Dembo, O. Farotimi, T. Kailath, High-order absolutely stable neural networks, IEEE Trans.on Circuits and Systems, 1991, CAS-38(1), 57-65.[2]E.B. Kosmatopoulos, M. A. Christodoulou, Structural properties of gradient recurrent high-order neural networks, IEEE Trans. on Circuits and Systems II, 1995, CAS-II-42(9), 592-603.[3]E.B. Kosmatopoulos, M. M. Polycarpou, M. A. Christodoulou, P. A. Ioannou, High-order neural network structures for identification of dynamical systems, IEEE Trans. on Neural Networks,1995, NN-6(2), 422-431.[4]T. Zhang, S. S. Ge, C. C. Hang, Neural-based direct adaptive control for a class of general nonlinear systems, International Journal of Systems Science, 1997, 28(10), 1011-1020.[5]J. Su, A. Q. Hu, Z. Y. He, Stability analysis of analogue neural networks, Electronics Letters,1997, 33(6), 506-507.[6]J. Su, A. Hu, Z. He, Solving a kind of nonlinear programming problems via analog neural networks,Neurocomputing, 1998, 18(1), 1-9.[7]關(guān)治洪,孫德寶,沈建京,高階Hopfield型神經(jīng)網(wǎng)絡(luò)的定性分析,電子學(xué)報(bào),2000,28(3),77-80.[8]廖曉昕,動(dòng)力系統(tǒng)穩(wěn)定性理論和應(yīng)用,北京,國(guó)防工業(yè)出版社,2000,45-48.[9]梁學(xué)斌,吳立德,Hopfield連續(xù)聯(lián)想記憶的吸引域和指數(shù)收斂速度的估計(jì)及其應(yīng)用,電子學(xué)報(bào),1996,24(1)40-43.
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出版歷程
  • 收稿日期:  2000-10-16
  • 修回日期:  2001-05-16
  • 刊出日期:  2002-05-19

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