具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)

蒋海军

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具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)

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- 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)
- 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)
- 新疆大学学报（自然科学版中英文） 2009年26卷第1期页码：1-15
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
  
  supported by the National Natural Science Foundation of P.R.China(60764003);the Major Project of The Ministry of Education of P.R.China and the Funded by Scientific Research Program of the HigherEducation Institution of Xinjiang(XJEDU2004I12 and XJEDU2006I05)
- DOI：
  中图分类号： O175.13
- 纸质出版：2009
- 稿件说明：
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[1]蒋海军.具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J].新疆大学学报(自然科学版),2009,26(01):1-15.

蒋海军. 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2009, 26(1): 1-15.
[1]蒋海军.具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J].新疆大学学报(自然科学版),2009,26(01):1-15. DOI：

蒋海军. 具变系数和无穷时滞的双向联想记忆神经网络的动力学行为(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2009, 26(1): 1-15. DOI：

摘要

研究了具有变系数和无穷时滞的双向联想记忆神经网络

通过引入相空间Cg(R_)×Cg(R_)和Lyapunov泛函方法

建立了一系列关于解的有界性和全局渐近稳定性的判别准则.对于具有变系数和无穷时滞周期的双向联想记忆神经网络

通过应用周期解存在定理

建立了该系统周期解存在和全局稳定的充分条件.将上述结果应用于自治双向联想记忆神经网络

得到了平衡点的存在性、唯一性和全局渐近稳定性.

Abstract

In this paper

the bidirectional associative memory neural networks with variable coeffcients and infinite distributed delay is studied.By introducing the phase space Cg(R_)×Cg(R_)and applying Lyapunov functional method

we establish a series of criteria on the boundedness

global asymptotic stability. As applications of these results and combining the existence theorems of periodic solutions for general functional differential equations with infinite delay

we obtain the existence of periodic solutions and its global asymptotic stability for the periodic bidirectional associative memory neural networks with infinite distributed delay.As a special case

we apply these results to the autonomous bidirectional associative memory neural networks with infinite distributed delay

and obtain the existence

uniqueness and global stability of equilibrium point.

关键词

Keywords

references

Arik S.An analysis of exponential stability of delayed neural networks with time varying delays[J].Neural networks,2004,17:1027-1031.

Burton T A.Stability and Periodic Solutions of Ordinary and Functional Differential Equations[M].New York:Academic Press INC,1985.

Burton T A,Grimmer R C.Oscillation,continuation and uniqueness of solutions of retarted differential equations[J]. Transactions American Mathematical Society,1973,179:193-209.

Burton T A,Zhang S.Unified bounded,periodicity,and stability in ordinary and functional differential equations[J]. Annali Mathematica Pure de Applicata,1986,145:129-158.

Cao J.New results concerning exponential stability and periodic solutions of delayed cellular neural networks[J].Physics Letters A,2003,307:136-147.

Cao J,Wang J.Global asymptotic stability of a general class of recurrent neural networks with time-varying delays[J]. IEEE Transactions on Circuits and Systems I,2003,50:34-44.

Cao J,Wang J.Global asymptotic and robust stability of recurrent neural networks with time delays[J].IEEE Trans Circuits Syst I,2005,52:417-426.

Cao J,Wang J.Exponential stability and periodic oscillatory solution in BAM networks with delays[J].IEEE Transactions on Neural Networks,2002,13:457-463.

Chen A,Cao J,Huang L.Exponential stability of BAM neural networks with transmission delays[J].Neurocomputing, 2004,57:435-454.

Chen Y.Global stability of neural networks with distributed delays[J].Neural Networks,2002,15:867-871.

Cheng Q,Zhang D,Yan G,Qian Z.Elements of the Real Valued Function and Functional Analysis[M].Higher Education Press,1983.

Dong M.Global exponential stability and existence of periodic solutions of CNNs with delays[J].Physics Letters A,2002, 300:49-57.

Dong Q,Matsui K,Huang X.Existence and stability of periodic solutions for Hopfield neural network equations with periodic input[J].Nonlinear Analysis,2002,49:471-479.

Guo S,Huang L,Dai B,Zhang Z.Global existence of periodic solutions of BAM neural networks with variable coeffcients[J]. Physics Letters A,2003,317:97-106.

Huang H,Cao J,Wang J.Global exponential stability and periodic solutions of recurrent neural networks with delays[J]. Physics Letters A,2002,298:393-404.

Hering R H.Boundedness and periodic solutions in infinite delay system[J].Journal Mathematics Analysis and Applica- tions,1992,163:521-537.

Jiang H,Li Z,Teng Z.Boundedness and stability for nonautonomous cellular neural networks with delay[J].Physics Letters A,2003,306:313-325.

Jiang H,Teng Z.Boundedness and stability for nonautonomous bidirectional associative neural networks with delay[J]. IEEE Trans Circuits and Sys II,2004,51:174-180.

Makay G.Periodic solutions of dissipative functional differential equations with infinite delay[J].Tohoku Mathematical Journal,1996,48:355-362.

Makay G.Periodic solutions of linear differential and integral equations[J].Differential and Integral Equations,1995,8: 2177-2187.

Peng J,Qiao H,Xu Z.A new approach to stability of neural networks with time-varying delays[J].Neural Networks,2002,15:95-103.

Xu S,Lam J,Ho D W C,Zou Y.Novel Global asymptotic stability criteria for delayed cellular neural networks[J].IEEE Trans Circuits Syst II,2005,52:349-353.

Zhang Bo.Boundedness in functional differential equations[J].Nonlinear Analysis,1994,22:1511-1527.

Zhou J,Liu Z,Chen G.Dynamics of periodic delayed neural networks[J].Neural Networks.2004,17:87-101.

Zhang Q,Wei X,Xu J.Global exponential stability of Hopfield neural networks with continuously distributed delays[J]. Physics Letters A,2003,315:431-436.

Zhang Y,Pheng H A,Leung K S.Convergence Analysis of Cellular Neural Networks with Unbounded Delay[J].IEEE Transactions on Circuits and Systems I,2001,48:680-687.

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