Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays

被引：238
作者：
Cao, Jinde [1 ]
Song, Qiankun
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
来源：
NONLINEARITY | 2006年 / 19卷 / 07期
关键词：
D O I：
10.1088/0951-7715/19/7/008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the exponential stability problem is investigated for a class of Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. By using the analysis method, inequality technique and the properties of an M-matrix, several novel sufficient conditions ensuring the existence, uniqueness and global exponential stability of the equilibrium point are derived. Moreover, the exponential convergence rate is estimated. The obtained results are less restrictive than those given in the earlier literature, and the boundedness and differentiability of the activation functions and differentiability of the time-varying delays are removed. Two examples with their simulations are given to show the effectiveness of the obtained results.
引用
收藏
页码：1601 / 1617
页数：17
相关论文
共 32 条
[1]   Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays [J].
Arik, S .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03) :580-586
[2]   Global stability analysis of Cohen-Grossberg neural networks with time varying delays [J].
Arik, S ;
Orman, Z .
PHYSICS LETTERS A, 2005, 341 (5-6) :410-421
[3]   Boundedness and stability for Cohen-Grossberg neural network with time-varying delays [J].
Cao, J ;
Liang, JL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :665-685
[4]   Periodic oscillatory solution of bidirectional associative memory networks with delays [J].
Cao, J ;
Wang, L .
PHYSICAL REVIEW E, 2000, 61 (02) :1825-1828
[5]   Adaptive synchronization of neural networks with or without time-varying delay [J].
Cao, JD ;
Lu, JQ .
CHAOS, 2006, 16 (01)
[6]   Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach [J].
Cao, JD ;
Li, XL .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :54-65
[7]   Global exponential stability and periodicity of recurrent neural networks with time delays [J].
Cao, JD ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (05) :920-931
[8]   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
[9]   Periodic oscillation and exponential stability of delayed CNNs [J].
Cao, JD .
PHYSICS LETTERS A, 2000, 270 (3-4) :157-163
[10]   Delay-independent stability analysis of Cohen-Grossberg neural networks [J].
Chen, TP ;
Rong, LB .
PHYSICS LETTERS A, 2003, 317 (5-6) :436-449
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