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
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
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
收藏
页码:3072 / 3085
页数:14
相关论文
共 50 条
  • [1] Lagrange Stability of Complex-valued Neural Networks with Time-varying Delays
    Tu, Zhengwen
    Cao, Jinde
    [J]. 2016 EIGHTH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTATIONAL INTELLIGENCE (ICACI), 2016, : 349 - 354
  • [2] Global Lagrange Stability of Complex-Valued Neural Networks with Time-Varying Delays
    Zhao, Zhenjiang
    Song, Qiankun
    [J]. 2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 4319 - 4323
  • [3] Exponential stability of a class of complex-valued neural networks with time-varying delays
    Pan, Jie
    Liu, Xinzhi
    Xie, Weichau
    [J]. NEUROCOMPUTING, 2015, 164 : 293 - 299
  • [4] Global lagrange stability of complex-valued neural networks of neutral type with time-varying delays
    Tu, Zhengwen
    Cao, Jinde
    Alsaedi, Ahmed
    Alsaadi, Fuad E.
    Hayat, Tasawar
    [J]. COMPLEXITY, 2016, 21 (S2) : 438 - 450
  • [5] Stability Criterion in Lagrange Sense for Complex-Valued Neural Networks with Mixed Time-Varying Delays
    Zhao Zhenjiang
    Song Qiankun
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 3859 - 3863
  • [6] Exponential stability of complex-valued memristor-based neural networks with time-varying delays
    Shi, Yanchao
    Cao, Jinde
    Chen, Guanrong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 313 : 222 - 234
  • [7] Exponential Stability of Matrix-Valued BAM Neural Networks with Time-Varying Delays
    Popa, Calin-Adrian
    [J]. NEURAL INFORMATION PROCESSING (ICONIP 2017), PT III, 2017, 10636 : 718 - 727
  • [8] Exponential stability of BAM neural networks with time-varying delays
    Zhang L.
    Shi B.
    [J]. Journal of Applied Mathematics and Computing, 2009, 30 (1-2) : 385 - 396
  • [9] Lagrange stability analysis for complex-valued neural networks with leakage delay and mixed time-varying delays
    Song, Qiankun
    Shu, Hanqi
    Zhao, Zhenjiang
    Liu, Yurong
    Alsaadi, Fuad E.
    [J]. NEUROCOMPUTING, 2017, 244 : 33 - 41
  • [10] Exponential input-to-state stability for complex-valued memristor-based BAM neural networks with multiple time-varying delays
    Guo, Runan
    Zhang, Ziye
    Liu, Xiaoping
    Lin, Chong
    Wang, Haixia
    Chen, Jian
    [J]. NEUROCOMPUTING, 2018, 275 : 2041 - 2054