Global exponential stability for recurrent neural networks with a general class of activation functions and variable delays

被引:0
作者
Zhou, DM [1 ]
Zhang, LM [1 ]
Zhao, DF [1 ]
机构
[1] Yunnan Univ, Informat Coll, Kunming 650091, Peoples R China
来源
PROCEEDINGS OF 2003 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS & SIGNAL PROCESSING, PROCEEDINGS, VOLS 1 AND 2 | 2003年
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
Based on a general class of activation functions, new results guaranteeing the global exponential stability of the equilibrium for a class of recurrent neural networks with variable delays are obtained, The delayed Hopfield neural network and bidirectional associative memory network and cellular neural networks are special cases of the network model considered in this paper. In addition, we do not require the activation functions to be differentiable, bounded and monotone nondecreasing. So this work gives some improvements to the previous ones.
引用
收藏
页码:108 / 111
页数:4
相关论文
共 11 条
[1]   An improved global stability result for delayed cellular neural networks [J].
Arik, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08) :1211-1214
[2]   Global stability analysis in delayed cellular neural networks [J].
Cao, JD .
PHYSICAL REVIEW E, 1999, 59 (05) :5940-5944
[3]   Global convergence of delayed dynamical systems [J].
Chen, TP .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (06) :1532-1536
[4]   On the stability analysis of delayed neural networks systems [J].
Feng, CH ;
Plamondon, R .
NEURAL NETWORKS, 2001, 14 (09) :1181-1188
[5]   Results concerning the absolute stability of delayed neural networks [J].
Joy, M .
NEURAL NETWORKS, 2000, 13 (06) :613-616
[6]  
Liao TL, 2000, IEEE T NEURAL NETWOR, V11, P1481, DOI 10.1109/72.883480
[7]   Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach [J].
Liao, XF ;
Chen, GR ;
Sanchez, EN .
NEURAL NETWORKS, 2002, 15 (07) :855-866
[8]   On stability of nonlinear continuous-time neural networks with delays [J].
Lu, HT .
NEURAL NETWORKS, 2000, 13 (10) :1135-1143
[9]   A new approach to stability of neural networks with time-varying delays [J].
Peng, JG ;
Qiao, H ;
Xu, ZB .
NEURAL NETWORKS, 2002, 15 (01) :95-103
[10]   On exponential stability of delayed neural networks with a general class of activation functions [J].
Sun, CY ;
Zhang, KJ ;
Fei, SM ;
Feng, CB .
PHYSICS LETTERS A, 2002, 298 (2-3) :122-132