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神經(jīng)網(wǎng)絡(luò)指數(shù)穩(wěn)定性分析及收斂率估計

譚曉惠 張繼業(yè) 楊翊仁

譚曉惠, 張繼業(yè), 楊翊仁. 神經(jīng)網(wǎng)絡(luò)指數(shù)穩(wěn)定性分析及收斂率估計[J]. 電子與信息學(xué)報, 2003, 25(10): 1361-1366.
引用本文: 譚曉惠, 張繼業(yè), 楊翊仁. 神經(jīng)網(wǎng)絡(luò)指數(shù)穩(wěn)定性分析及收斂率估計[J]. 電子與信息學(xué)報, 2003, 25(10): 1361-1366.
Tan Xiaohui, Zhang Jiye, Yang Yiren. Study on global exponential stability of neural networks and its convergence estimate[J]. Journal of Electronics & Information Technology, 2003, 25(10): 1361-1366.
Citation: Tan Xiaohui, Zhang Jiye, Yang Yiren. Study on global exponential stability of neural networks and its convergence estimate[J]. Journal of Electronics & Information Technology, 2003, 25(10): 1361-1366.

神經(jīng)網(wǎng)絡(luò)指數(shù)穩(wěn)定性分析及收斂率估計

Study on global exponential stability of neural networks and its convergence estimate

  • 摘要: 該文通過李雅普諾夫直接方法,研究了一類 Hopfield神經(jīng)網(wǎng)絡(luò)平衡點的存在性、唯一性與指數(shù)穩(wěn)定性。文中假設(shè)神經(jīng)網(wǎng)絡(luò)系統(tǒng)的激勵函數(shù)為單調(diào)增Lipschitz連續(xù)函數(shù),在自反饋項為非線性函數(shù)的條件下,研究其指數(shù)穩(wěn)定性,同時給出了收斂率估計式。
  • Zhang Jiye, Yang Yiren, Global stability analysis of bi-directional associative memory neural networks with time delay [J], International Journal of Circuit Theory and Application, 2001,29(3), 185-196.[2]Qiao Hong, Peng Jigen, Xu Zong-Ben, Nonlinear measures: a new approach to exponential stability analysis for Hopfield-type neural networks [J], IEEE Trans. on Neural Networks, 2001,12(2), 360-370.[3]M. Forti, A. Tesi, New conditions for global stability of neural networks with application to linear and quadratic programming problems [J], IEEE Trans. on Circuits and Systems-I, 1995, 42(7),354-366.[4]Liang Xue-Bin, Si Jennie, Global exponential stability of neural networks with globally Lipschitz continuous activations and its application to linear variational inequality problem [J], IEEE Trans.on Neural Networks, 2001, 12(2), 349-359.[5]Chen Tianping, Amari Shun Ichi, Stability of asymmetric Hopfield networks [J], IEEE Trans.[J]. on Neural Networks.2001,12:159-[6]廖曉昕,Hopfield神經(jīng)網(wǎng)絡(luò)的穩(wěn)定性[J],中國科學(xué)(A),1993,23(10),1025-1035.[7]梁學(xué)斌,吳立德,Hopfield型神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性及其應(yīng)用[J],中國科學(xué)(A),1995,25(5),523-532.[8]梁學(xué)斌,吳立德,連續(xù)反饋聯(lián)想記憶的吸引域和指數(shù)收斂速度的估計及其應(yīng)用[J],電子科學(xué)學(xué)刊,1996,18(1),1-6.[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)收斂速度的估計及其應(yīng)用[J],電子學(xué)報,1996,24(1),40-43.[10]周冬明,曹進德,李繼彬,連續(xù)反饋聯(lián)想記憶的吸引域和指數(shù)收斂速度的估計[J],應(yīng)用數(shù)學(xué)和力學(xué),2001,23(3),275-279.[11]張強,許進,細胞神經(jīng)網(wǎng)絡(luò)的全局指數(shù)穩(wěn)定性[J],電子科學(xué)學(xué)刊,2000,22(5),434-438. [12]Liang Xue-Bin, Wang Jun, An additive diagonal-stability condition for absolute exponential stability of a general class of neural networks[J], IEEE Trans. on Circuits and Systems-I, 2001,48(11), 1308-1317.[12]舒仲周,張繼業(yè),曹登慶,運動穩(wěn)定性[M],北京,中國鐵道出版社,2001,202-215.[13]D. Hershkowitz, Recent directions in matrix stability [J], Linear Algebra and Its Applications,July 1, 1992, Vol.171, 161-186.
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出版歷程
  • 收稿日期:  2002-04-27
  • 修回日期:  2002-10-08
  • 刊出日期:  2003-10-19

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