On control of Hopf bifurcation in BAM neural network with delayed self-feedback

被引：0
作者：
Xiao, Min [1 ]
Cao, Jinde
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Nanjing Xiaozhuang Coll, Dept Math, Nanjing 210017, Peoples R China
来源：
ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1 | 2006年 / 3971卷
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the control of Hopf bifurcations in BAM neural network with delayed self-feedback is presented. The asymptotic stability theorem and the relevant corollary for linearized nonlinear dynamical systems are stated. For BAM neural network with delayed self-feedback, a control model based on washout filter is proposed and analyzed. By applying the stability lemma, we investigate the stability of the control system and state the relevant theorem for choosing the parameters of the stabilized control system. Some numerical results are also given to illustrate the correctness of our results.
引用
收藏
页码：285 / 290
页数：6
相关论文
共 16 条
[1]   Exponential stability of high-order bidirectional associative memory neural networks with time delays [J].
Cao, JD ;
Liang, JL ;
Lam, J .
PHYSICA D-NONLINEAR PHENOMENA, 2004, 199 (3-4) :425-436
[2]   Exponential stability and periodic oscillatory solution in BAM networks with delays [J].
Cao, JD ;
Wang, L .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463
[3]  
Chen D, 1998, IEEE DECIS CONTR P, P3040, DOI 10.1109/CDC.1998.757961
[4]   DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS [J].
GOPALSAMY, K ;
HE, XZ .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002
[5]   Delay induced periodicity in a neural netlet of excitation and inhibition [J].
Gopalsamy, K ;
Leung, I .
PHYSICA D, 1996, 89 (3-4) :395-426
[6]   BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :49-60
[7]  
Kosko B, 1990, IEEE Trans Neural Netw, V1, P44, DOI 10.1109/72.80204
[8]  
LEE SH, 2001, POW ENG SOC SUMM M, V2, P978
[9]   Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function [J].
Liao, XF ;
Wong, KW ;
Leung, CS ;
Wu, ZF .
CHAOS SOLITONS & FRACTALS, 2001, 12 (08) :1535-1547
[10]   Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks [J].
Mohamad, S .
PHYSICA D, 2001, 159 (3-4) :233-251
12