Synchronization of fractional-order memristor-based complex-valued neural networks with uncertain parameters and time delays

被引:88
|
作者
Yang, Xujun [1 ]
Li, Chuandong [1 ]
Huang, Tingwen [2 ]
Song, Qiankun [3 ]
Huang, Junjian [4 ]
机构
[1] Southwest Univ, Chongqing Key Lab Nonlinear Circuits & Intelligen, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
[2] Texas A&M Univ Qatar, Doha 23874, Qatar
[3] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[4] Chongqing Univ Educ, Dept Comp Sci, Chongqing 400067, Peoples R China
基金
中国国家自然科学基金;
关键词
Synchronization; Fractional order; Memristor; Complex-valued neural networks; Uncertain parameter; Time delay; GLOBAL EXPONENTIAL STABILITY; MITTAG-LEFFLER STABILITY; SYSTEMS;
D O I
10.1016/j.chaos.2018.03.016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper talks about the global asymptotical synchronization problem of delayed fractional-order memristor-based complex-valued neural networks with uncertain parameters. Under the framework of Filippov solution and differential inclusion theory, several sufficient criteria ensuring the global asymptotical synchronization for the addressed drive-response models are derived, by means of Lyapunov direct method and comparison theorem. In addition, two numerical examples are designed to verify the correctness and effectiveness of the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码:105 / 123
页数:19
相关论文
共 50 条
  • [1] Global asymptotic synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays
    Ali, M. Syed
    Hymavathi, M.
    Senan, Sibel
    Shekher, Vineet
    Arik, Sabri
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
  • [2] Synchronization stability of memristor-based complex-valued neural networks with time delays
    Liu, Dan
    Zhu, Song
    Ye, Er
    [J]. NEURAL NETWORKS, 2017, 96 : 115 - 127
  • [3] Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay
    Zhang, Yanlin
    Deng, Shengfu
    [J]. CHAOS SOLITONS & FRACTALS, 2019, 128 : 176 - 190
  • [4] Synchronization in uncertain fractional-order memristive complex-valued neural networks with multiple time delays
    Zhang, Weiwei
    Zhang, Hai
    Cao, Jinde
    Alsaadi, Fuad E.
    Chen, Dingyuan
    [J]. NEURAL NETWORKS, 2019, 110 : 186 - 198
  • [5] Adaptive synchronization of memristor-based complex-valued neural networks with time delays
    Xu, Wei
    Zhu, Song
    Fang, Xiaoyu
    Wang, Wei
    [J]. NEUROCOMPUTING, 2019, 364 : 119 - 128
  • [6] Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays
    Rakkiyappan, R.
    Velmurugan, G.
    Cao, Jinde
    [J]. NONLINEAR DYNAMICS, 2014, 78 (04) : 2823 - 2836
  • [7] Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays
    R. Rakkiyappan
    G. Velmurugan
    Jinde Cao
    [J]. Nonlinear Dynamics, 2014, 78 : 2823 - 2836
  • [8] Projective synchronization for fractional-order memristor-based neural networks with time delays
    Yajuan Gu
    Yongguang Yu
    Hu Wang
    [J]. Neural Computing and Applications, 2019, 31 : 6039 - 6054
  • [9] Projective synchronization for fractional-order memristor-based neural networks with time delays
    Gu, Yajuan
    Yu, Yongguang
    Wang, Hu
    [J]. NEURAL COMPUTING & APPLICATIONS, 2019, 31 (10): : 6039 - 6054
  • [10] Synchronization of memristor-based complex-valued neural networks with time-varying delays
    Yanzhao Cheng
    Yanchao Shi
    [J]. Computational and Applied Mathematics, 2022, 41