Convergence dynamics of hybrid bidirectional associative memory neural networks with distributed delays

被引：64
作者：
Liao, XF [1 ]
Wong, KW
Yang, SZ
机构：
[1] Chongqing Univ, Dept Comp Engn & Sci, Chongqing 400044, Peoples R China
[2] City Univ Hong Kong, Dept Comp Engn & Informat Technol, Hong Kong, Hong Kong, Peoples R China
[3] Chongqing Univ, Coll Commun, Chongqing 400044, Peoples R China
来源：
PHYSICS LETTERS A | 2003年 / 316卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
bidirectional associative memory; neural networks; distributed delays; global exponential stability;
D O I：
10.1016/S0375-9601(03)01113-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, the characteristics of the convergence dynamics of hybrid bidirectional associative memory neural networks with distributed transmission delays are studied. Without assuming the symmetry of synaptic connection weights and the monotonicity and differentiability of activation functions, the Lyapunov functionals are constructed and the generalized Halanay-type inequalities are employed to derive the delay-independent sufficient conditions under which the networks converge exponentially to the equilibria associated with temporally uniform external inputs. Some examples are given to illustrate the correctness of our results. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：55 / 64
页数：10
相关论文
共 25 条
[1]  
[Anonymous], 1992, NEURAL NETWORKS FUZZ
[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]   DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS [J].
GOPALSAMY, K ;
HE, XZ .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002
[4]  
Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74
[5]   BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :49-60
[6]   ADAPTIVE BIDIRECTIONAL ASSOCIATIVE MEMORIES [J].
KOSKO, B .
APPLIED OPTICS, 1987, 26 (23) :4947-4960
[7]  
Kosko B, 1990, IEEE Trans Neural Netw, V1, P44, DOI 10.1109/72.80204
[8]  
Liao X. F., 1997, J ELECT, V19, P439
[9]   LMI-Based approach for asymptotically stability analysis of delayed neural networks [J].
Liao, XF ;
Chen, GR ;
Sanchez, EN .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (07) :1033-1039
[10]   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
123