Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays

被引：19

作者：

Xiang, Hongjun ^{[1
]}

Wang, Jinhua ^{[1
]}

Cao, Jinde ^{[2
]}

机构：

[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

来源：

NEUROCOMPUTING | 2009年 / 72卷 / 16-18期

关键词：

Cohen-Grossberg-type; BAM neural networks; Almost periodic solution; Exponential stability; GLOBAL EXPONENTIAL STABILITY; ASSOCIATIVE MEMORY NETWORKS; NEURAL-NETWORKS; CONTINUOUS-TIME;

D O I：

10.1016/j.neucom.2009.05.014

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, a class of Cohen-Grossberg-type bi-directional associative memory (BAM) neural networks with distributed delays is discussed. Based on inequality analysis method and combining the exponential dichotomy with fixed point theorem, some novel sufficient conditions are obtained to ensure the existence and globally exponential stability of almost periodic solution to this system. Moreover, an example is given to demonstrate the feasibility of our results. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3751 / 3759

页数：9

共 24 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] 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

[3] 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

[4] An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays [J].

Cao, JD ;

Jiang, QH .

PHYSICS LETTERS A, 2004, 330 (3-4) :203-213

[5] Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays [J].

Cao, Jinde ;

Song, Qiankun .

NONLINEARITY, 2006, 19 (07) :1601-1617

[6] Periodic bi-directional Cohen-Grossberg neural networks with distributed delays [J].

Chen, Anping ;

Cao, Jinde .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (12) :2947-2961

[7] ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].

COHEN, MA ;

GROSSBERG, S .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826

[8] Stability analysis of bidirectional associative memory networks with time delays [J].

Feng, CH ;

Plamondon, R .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2003, 14 (06) :1560-1565

[9]

Fink A. M., 1974, Almost Periodic Differential Equations

[10] Periodic oscillation for a class of neural networks with variable coefficients [J].

Guo, SJ ;

Huang, LH .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (03) :545-561

← 1 2 3 →