Stability criteria for delayed neural networks

被引:15
|
作者
Lu, HT [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Comp Sci & Engn, Shanghai 200030, Peoples R China
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 05期
关键词
D O I
10.1103/PhysRevE.64.051901
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this paper, delay-independent global asymptotic and exponential stability for a class of delayed neural networks (DNN's) is investigated, and some criteria are established to ensure stability of DNN's by applying the Lyapunov direct method. These criteria are expressed by imposing constraints on weight matrices of the networks, and they Bare easy to verify and so are applicable in the design of DNN's. Comparisons between our criteria and some earlier results are also made; it is shown that our results generalize some existing criteria in the literature.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] Improved Stability Criteria for Delayed Neural Networks
    Zheng, Min
    Fei, Minrui
    Yang, Taicheng
    Li, Yang
    [J]. LIFE SYSTEM MODELING AND INTELLIGENT COMPUTING, PT II, 2010, 98 : 123 - +
  • [2] Algebraical criteria of stability for delayed memristive neural networks
    Wu, Ailong
    Zeng, Zhigang
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [3] New Stability Criteria for Delayed Neural Networks with Impulses
    Shen, Jing
    Wan, Jian
    Li, Chuan-dong
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (01) : 113 - 117
  • [4] New Stability Criteria for Delayed Neural Networks with Impulses
    Zhang, Wei
    Li, Chuandong
    Wei, Pengcheng
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2010, 11 : 81 - 85
  • [5] Improved stability criteria for uncertain delayed neural networks
    Zheng, Min
    Fei, Minrui
    Li, Yang
    [J]. NEUROCOMPUTING, 2012, 98 : 34 - 39
  • [6] New exponential stability criteria for delayed neural networks
    Li, CD
    Liao, XF
    [J]. PROCEEDINGS OF THE 2005 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS AND BRAIN, VOLS 1-3, 2005, : 183 - 186
  • [7] A set of stability criteria for delayed cellular neural networks
    Cao, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04): : 494 - 498
  • [8] Algebraical criteria of stability for delayed memristive neural networks
    Ailong Wu
    Zhigang Zeng
    [J]. Advances in Difference Equations, 2015
  • [9] New criteria for exponential stability of delayed recurrent neural networks
    Xiao, Jian
    Zeng, Zhigang
    Wu, Ailong
    [J]. NEUROCOMPUTING, 2014, 134 : 182 - 188
  • [10] Improved global robust stability criteria for delayed neural networks
    Shen, Tao
    Zhang, Yong
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2007, 54 (08) : 715 - 719