Stability of Cohen-Grossberg neural networks with nonnegative periodic solutions

被引:1
|
作者
Chen, Tianping
Bai, Yanchun
机构
关键词
GLOBAL EXPONENTIAL STABILITY; DISTRIBUTED DELAYS; EXISTENCE;
D O I
10.1109/IJCNN.2007.4370962
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, we discuss nonnegative periodic solutions for generalized Cohen-Grossberg neural networks. Without assuming strict positivity and boundedness of the amplification functions, the dynamics of periodic Cohen-Grossberg neural networks are studied. By applying a direct method, sufficient conditions guaranteeing the existence and global asymptotic stability of nonnegative periodic solution are derived. Also the criterion does not depend on the assumption for amplification functions being upper and low bounded or the external inputs.
引用
收藏
页码:242 / 247
页数:6
相关论文
共 50 条
  • [21] Existence and stability of periodic solutions for impulsive fuzzy BAM Cohen-Grossberg neural networks on time scales
    Cai, Shaohong
    Zhang, Qianhong
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [22] Existence and stability of periodic solutions for impulsive fuzzy BAM Cohen-Grossberg neural networks on time scales
    Shaohong Cai
    Qianhong Zhang
    Advances in Difference Equations, 2016
  • [23] Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays
    Long, Fei
    Wang, Yixuan
    Zhou, Shuzi
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (03) : 797 - 810
  • [24] Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays
    Zhang, Fuxing
    Liu, Bingwen
    Huang, Lihong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (09) : 1325 - 1338
  • [25] Stability of Impulsive Cohen-Grossberg Neural Networks with Delays
    Yang, Jianfu
    Ding, Wensi
    Yang, Fengjian
    Liang, Lishi
    Hong, Qun
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 554 - +
  • [26] Exponential stability of Cohen-Grossberg neural networks with delays
    Zhang, W
    Yu, JQ
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 149 - 155
  • [27] Stability of Cohen-Grossberg neural networks with distributed delays
    Wang, L
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 160 (01) : 93 - 110
  • [28] Exponential stability of Cohen-Grossberg neural networks with delays
    Liao, Xiaofeng
    Yang, Jiyun
    Guo, Songtao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) : 1767 - 1775
  • [29] Periodic solution of Cohen-Grossberg neural networks with variable coefficients
    Xiang, Hongjun
    Cao, Jinde
    ADVANCES IN NEURAL NETWORKS - ISNN 2007, PT 1, PROCEEDINGS, 2007, 4491 : 941 - +
  • [30] Periodic solutions and global stability of delay Cohen-Grossberg systems
    Zeng, YF
    Xu, DY
    Ni, JR
    Deng, J
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (01): : 37 - 46