期刊文献+

一类BAM神经网络的概周期解的存在性和指数收敛性 被引量:1

The Existence and Global Exponential Convergence of Almost Periodic Solution of a Class BAM Neural Networks
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摘要 利用不动点理论和推广的Halanay时滞微分不等式,研究一类双向联想记忆神经网络的概周期解的存在性和全局指数收敛性,给出其判定的充分性条件. The general sufficient conditions for existence and global exponential convergence of almost periodic solution of a class BAM neural networks are established by applying the theory of fixed point and extended Halanay differential inequality.
出处 《大学数学》 北大核心 2007年第5期35-40,共6页 College Mathematics
基金 浙江省自然科学基金(604003)
关键词 双向联想记忆神经网络 不动点理论 微分不等式 概周期解 全局指数收敛性 hi-directional associative memory neural networks fixed point theory differential inequality almost periodic solution exponential convergence
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参考文献9

  • 1Kosto B.Adaptive bi-directional associative memories[J].Appl.Optim.,1987,26(23):4947-4960.
  • 2Kosto B.Bi-directional associative memories[J].IEEE Trans.Systems Man.Cybernet.,1988,18(1):49-60.
  • 3Kosto B.Neural networks and fuzzy systems-A dynamical system approach machine intelligence[M].Prentice-Hall:Englewood Cliffs,NJ.,1992,38-108.
  • 4Song Qian-kun,Cao Jin-de.Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms[J].Chaos solitons and Fractals,2005,(23):421-430.
  • 5Liu Yu-rong,Wang Zi-dong,Liu Xiao-hui.Global asymptotic stability of generalized bi-directional associative memeory with discrete and distributed delays[J].Chaos solitons and Fractals,2005,(28):793-803.
  • 6周进,刘曾荣,向兰.具有时滞的双向联想记忆(BAM)的神经网络的全局动力学行为[J].应用数学和力学,2005,26(3):300-308. 被引量:7
  • 7董梅芳.具有时滞的双向联想记忆神经网络的指数稳定性和周期解的存在性[J].高校应用数学学报(A辑),2002,17(4):379-384. 被引量:10
  • 8Liao Xiao-feng,Wong Kwok-wo,Yang Shi-zhong.Convergence dynamics of hybrid bi-directional associative memory neural networks with distributed delays[J].Phy.Let.A,2003,(316):55-64.
  • 9Frink A M.Almost periodic Differential Equation[M].New York:Springer-Verlag,1974.

二级参考文献18

  • 1梁学斌,吴立德.Hopfield连续联想记忆的吸引域和指数收敛速度的估计及其应用[J].电子学报,1996,24(1):40-43. 被引量:10
  • 2Mohamad S. Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks[ J] Physica D, 2001,159(3): 233-251.
  • 3Liao X F, Yu J B, Chen G. Novel stability criteria for bidirectional associative memory neural networks with time delays [ J]. International Journal of Circuit Theory and Applications ,2002,30(3):519-546.
  • 4Kosko B. Bidirectional associative memories[ J]. IEEE Transactions on Systems, Man, and Cybernetics, 1988,18( 1 ) :49-60.
  • 5Kosko B. Unsupervised learning in noise[J].IEEE Transactions on Neural Networks,1990,1(1):44-57.
  • 6Kosko B. Structural stability of unsupervised learning in feedback neural networks[ J].IEEE Transactions on Automatic Control, 1991,36(5) :785-790.
  • 7Maundy B, Masry E. A switched capacitor bidirectional associative memory[ J].IEEE Transactions on Circuit s and Systems, 1990,37(12): 1568-1572.
  • 8Gopalsamy K, He X Z. Delay-independent stability in bidirectional associative memory networks [ J ].IEEE Transactions on Neural Networks, 1994,5(7) :998-1002.
  • 9Liao X F, Wong K W, Yu J B. Novel stability conditions for cellular neural networks with time delay [J]. International Journal of Bifurcation and Chaos ,2001,11(12): 1835-1864.
  • 10Morita M. Associative memory with non-monotone dynamics [ J ]. Neural Networks, 1993, 6 ( 1 ):115-126.

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