Global asymptotic stability of complex-valued neural networks with additive time-varying delays

被引:0
|
作者
K. Subramanian
P. Muthukumar
机构
[1] The Gandhigram Rural Institute - Deemed University,Department of Mathematics
来源
Cognitive Neurodynamics | 2017年 / 11卷
关键词
Additive time-varying delays; Complex-valued neural networks; Global asymptotic stability; Leakage delay; Lyapunov–Krasovskii functional;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we extensively study the global asymptotic stability problem of complex-valued neural networks with leakage delay and additive time-varying delays. By constructing a suitable Lyapunov–Krasovskii functional and applying newly developed complex valued integral inequalities, sufficient conditions for the global asymptotic stability of proposed neural networks are established in the form of complex-valued linear matrix inequalities. This linear matrix inequalities are efficiently solved by using standard available numerical packages. Finally, three numerical examples are given to demonstrate the effectiveness of the theoretical results.
引用
收藏
页码:293 / 306
页数:13
相关论文
共 50 条
  • [41] Global asymptotic stability of recurrent neural networks with time-varying delays
    Jiang, HJ
    Cao, JD
    PROCEEDINGS OF THE 2005 INTERNATIONAL CONFERENCE ON NEURAL NETWORKS AND BRAIN, VOLS 1-3, 2005, : 160 - 164
  • [42] Global Asymptotic Stability Analysis of Neural Networks with Time-Varying Delays
    Zhang Qiang
    Xiaopeng Wei
    Jin Xu
    Neural Processing Letters, 2005, 21 : 61 - 71
  • [43] On global asymptotic stability of recurrent neural networks with time-varying delays
    Huang, H
    Cao, JD
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 142 (01) : 143 - 154
  • [44] Global asymptotic stability analysis of neural networks with time-varying delays
    Zhang, Q
    Wei, XP
    Xu, J
    NEURAL PROCESSING LETTERS, 2005, 21 (01) : 61 - 71
  • [45] Global asymptotic stability analysis for neural networks with time-varying delays
    Zuo, Zhiqiang
    Wang, Yijing
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 6343 - 6347
  • [46] Global asymptotic stability for a class of neural networks with time-varying delays
    Guo, Yingxin
    Xu, Chao
    2014 IEEE CHINESE GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC), 2014, : 72 - 76
  • [47] Global asymptotic stability for a class of complex-valued Cohen-Grossberg neural networks with time delays
    Zhang, Zhengqiu
    Yu, Shenghua
    NEUROCOMPUTING, 2016, 171 : 1158 - 1166
  • [48] Global attracting sets of non-autonomous and complex-valued neural networks with time-varying delays
    Li, Yongping
    Liao, Xiaofeng
    Li, Huaqing
    NEUROCOMPUTING, 2016, 173 : 994 - 1000
  • [49] Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects
    Jian, Jigui
    Wan, Peng
    FUZZY SETS AND SYSTEMS, 2018, 338 : 23 - 39
  • [50] Global Exponential Stability of Periodic Solution for Complex-Valued Neural Networks with Time-Varying Delay
    Zhao Zhenjiang
    Song Qiankun
    PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 3642 - 3647