Global stability in Lagrange sense for BAM-type Cohen-Grossberg neural networks with time-varying delays

被引:21
作者
Jian, Jigui [1 ]
Zhao, Zhihua [1 ]
机构
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
BAM-type Cohen-Grossberg neural networks; Lagrange stability; globally attractive set; inequality;
D O I
10.1080/21642583.2014.881729
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we investigate the positive invariant sets and global exponential attractive sets for a class of bidirectional associative memory (BAM)-type Cohen-Grossberg neural networks with multiple time-varying delays. By applying inequality techniques, some easily verifiable delay-independent criteria for the ultimate boundedness and global exponential attractive sets of BAM-type Cohen-Grossberg neural networks are obtained by constructing appropriate Lyapunov functions. Finally, one example with numerical simulations is given to illustrate the results obtained in this paper.
引用
收藏
页码:1 / 7
页数:7
相关论文
共 17 条
[1]   Distributed H∞ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks [J].
Dong, Hongli ;
Wang, Zidong ;
Gao, Huijun .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (10) :4665-4672
[2]   H?8? sliding mode observer design for a class of nonlinear discrete time-delay systems: A delay-fractioning approach [J].
Hu, Jun ;
Wang, Zidong ;
Niu, Yugang ;
Stergioulas, Lampros K. .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (16) :1806-1826
[3]   BAM-type Cohen-Grossberg neural networks with time delays [J].
Jiang, Haijun ;
Cao, Jinde .
MATHEMATICAL AND COMPUTER MODELLING, 2008, 47 (1-2) :92-103
[4]   Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays [J].
Li, Kelin ;
Zhang, Liping ;
Zhang, Xinhua ;
Li, Zuoan .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) :3970-3984
[5]   Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays [J].
Li, Xiaodi .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) :292-307
[6]   Positive invariant and global exponential attractive sets of neural networks with time-varying delays [J].
Liao, Xiaoxin ;
Luo, Qi ;
Zeng, Zhigang .
NEUROCOMPUTING, 2008, 71 (4-6) :513-518
[7]   New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type [J].
Liu, Jia ;
Zong, Guangdeng .
NEUROCOMPUTING, 2009, 72 (10-12) :2549-2555
[8]   On Attracting Basins of Multiple Equilibria of a Class of Cellular Neural Networks [J].
Lu, Wenlian ;
Wang, Lili ;
Chen, Tianping .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (03) :381-394
[9]   Global exponential stability in Lagrange sense for neutral type recurrent neural networks [J].
Luo, Qi ;
Zeng, Zhigang ;
Liao, Xiaoxin .
NEUROCOMPUTING, 2011, 74 (04) :638-645
[10]   Global dissipativity of neural networks with both variable and unbounded delays [J].
Song, QK ;
Zhao, ZJ .
CHAOS SOLITONS & FRACTALS, 2005, 25 (02) :393-401