Lagrange Exponential Stability of Complex-Valued BAM Neural Networks With Time-Varying Delays

被引:69
|
作者
Zhang, Ziye [1 ,2 ]
Guo, Runan [2 ]
Liu, Xiaoping [3 ]
Lin, Chong [4 ]
机构
[1] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[3] Lakehead Univ, Dept Elect Engn, Thunder Bay, ON P7B 5E1, Canada
[4] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
基金
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词
Control theory; Stability analysis; Delays; Biological neural networks; Asymptotic stability; Complex-valued bidirectional associative memory (BAM) neural networks; Lagrange exponential stability; time-varying delays; TO-STATE STABILITY; GLOBAL STABILITY; NEUTRAL-TYPE; SENSE; SYNCHRONIZATION; MULTISTABILITY; EXISTENCE; DISCRETE;
D O I
10.1109/TSMC.2018.2840091
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the Lagrange exponential stability problem of complex-valued bidirectional associative memory neural networks with time-varying delays. On the basis of activation functions satisfying different assumption conditions, by combining the Lyapunov function approach with some inequalities techniques, different sufficient criteria including algebraic conditions and the condition in terms of LMI are derived to guarantee Lagrange exponential stability of the addressed system, respectively. Moreover, the estimations of different globally attractive sets named the convergence balls are also provided. In the end, the effectiveness and superiority-inferiority of these different results are verified by illustrative examples.
引用
下载
收藏
页码:3072 / 3085
页数:14
相关论文
共 50 条
  • [21] Global exponential convergence for impulsive inertial complex-valued neural networks with time-varying delays
    Tang, Qian
    Jian, Jigui
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 159 : 39 - 56
  • [22] Multiple μ-stability analysis of complex-valued neural networks with unbounded time-varying delays
    Rakkiyappan, R.
    Velrnurugan, G.
    Cao, Jinde
    NEUROCOMPUTING, 2015, 149 : 594 - 607
  • [23] Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays
    Zhang, Hao
    Wang, Xing-yuan
    Lin, Xiao-hui
    Liu, Chong-xin
    PLOS ONE, 2014, 9 (04):
  • [24] Global exponential stability of fuzzy BAM neural networks with time-varying delays
    Zhang, Qianhong
    Luo, Wei
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2239 - 2245
  • [25] State Estimation for Complex-Valued Neural Networks with Time-Varying Delays
    Qiu, Bin
    Liao, Xiaofeng
    Zhou, Bo
    2015 SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP), 2015, : 531 - 536
  • [26] Exponential Stability of Antiperiodic Solution for BAM Neural Networks with Time-Varying Delays
    Li, Xiaofei
    Qin, Chuan
    Zhu, Quanxin
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [27] Global exponential stability of impulsive complex-valued neural networks with both asynchronous time-varying and continuously distributed delays
    Song, Qiankun
    Yan, Huan
    Zhao, Zhenjiang
    Liu, Yurong
    NEURAL NETWORKS, 2016, 81 : 1 - 10
  • [28] Exponential passivity of BAM neural networks with time-varying delays
    Du, Yuanhua
    Zhong, Shouming
    Zhou, Nan
    Nie, Lei
    Wang, Wenqin
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 : 727 - 740
  • [29] Exponential stability in Lagrange sense for inertial neural networks with time-varying delays
    Lu, Shuang
    Gao, Yanbo
    NEUROCOMPUTING, 2019, 333 : 41 - 52
  • [30] Finite Time State Estimation of Complex-valued BAM Neutral-type Neural Networks with Time-varying Delays
    Guo, Runan
    Zhang, Ziye
    Lin, Chong
    Chu, Yuming
    Li, Yongmin
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (03) : 801 - 809