Exponential stability of stochastic high-order BAM neural networks with time delays and impulsive effects

被引：8
|
作者：
Lu, Danjie [1 ]
Li, Chaojie [2 ]
机构：
[1] Chongqing Univ, Coll Resource & Environm Sci, Chongqing 630044, Peoples R China
[2] Univ Ballarat, Sch Sci Informat Technol & Engn, Ballarat, Vic 3353, Australia
来源：
NEURAL COMPUTING & APPLICATIONS | 2013年 / 23卷 / 01期
关键词：
Stochastic high-order BAM neural networks; Exponential stability; Time-varying delays; Impulsive effects; BIDIRECTIONAL ASSOCIATIVE MEMORIES; VARYING DELAYS; FUNCTION APPROXIMATION;
D O I：
10.1007/s00521-012-0861-1
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 consider the problem on exponential stability analysis of the stochastic impulsive high-order BAM neural networks with time delays. Through employing Lyapunov function method and stochastic bidirected halanay inequality, we constitute exponential stability of the stochastic impulsive high-order BAM neural networks with its estimated exponential convergence rate and feasible interval of impulsive strength. An example illustrates the main results.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [21] Global Exponential Stability of High-Order Hopfield Neural Networks with Time Delays
    Qiu, Jianlong
    Cheng, Quanxin
    SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009), 2009, 56 : 39 - +
  • [22] Global Exponential Stability of High-Order Bidirectional Associative Memory (BAM) Neural Networks with Proportional Delays
    Zu, Jiacheng
    Yu, Zhixian
    Meng, Yanling
    NEURAL PROCESSING LETTERS, 2020, 51 (03) : 2531 - 2549
  • [23] Global Exponential Stability of High-Order Bidirectional Associative Memory (BAM) Neural Networks with Proportional Delays
    Jiacheng Zu
    Zhixian Yu
    Yanling Meng
    Neural Processing Letters, 2020, 51 : 2531 - 2549
  • [24] Stability Analysis of Impulsive Stochastic BAM Neural Networks with Time-Varying Delays
    Liu, Guodong
    Wu, Guoxiong
    Wang, Zhengxia
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 732 - 736
  • [25] Asymptotic and Robust Mean Square Stability Analysis of Impulsive High-Order BAM Neural Networks with Time-Varying Delays
    Yingxin Guo
    Luyao Xin
    Circuits, Systems, and Signal Processing, 2018, 37 : 2805 - 2823
  • [26] Asymptotic and Robust Mean Square Stability Analysis of Impulsive High-Order BAM Neural Networks with Time-Varying Delays
    Guo, Yingxin
    Xin, Luyao
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2018, 37 (07) : 2805 - 2823
  • [27] Mean square exponential stability of stochastic high-order Hopfield neural networks with time-varying delays
    Shi, Xiangdong
    SENSORS, MEASUREMENT AND INTELLIGENT MATERIALS, PTS 1-4, 2013, 303-306 : 1532 - 1535
  • [28] Global exponential stability and periodic solutions of high-order bidirectional associative memory (BAM) neural networks with time delays and impulses
    Wang, Fen
    Sun, Dong
    Wu, Huaiyu
    NEUROCOMPUTING, 2015, 155 : 261 - 276
  • [29] Exponential stability of high-order bidirectional associative memory neural networks with time delays
    Cao, JD
    Liang, JL
    Lam, J
    PHYSICA D-NONLINEAR PHENOMENA, 2004, 199 (3-4) : 425 - 436
  • [30] On global exponential stability of high-order neural networks with time-varying delays
    Zhang, Baoyong
    Xu, Shengyuan
    Li, Yongmin
    Chu, Yuming
    PHYSICS LETTERS A, 2007, 366 (1-2) : 69 - 78
12345