Synchronization of a class of fractional-order neural networks with multiple time delays by comparison principles

被引：26
|
作者：
Zhang, Weiwei [1 ]
Wu, Ranchao [2 ]
Cao, Jinde [3 ,4 ]
Alsaedi, Ahmed [4 ]
Hayat, Tasawar [4 ,5 ]
机构：
[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246011, Peoples R China
[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[5] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2017年 / 22卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fractional-order neural networks; comparison principles; multiple time delays; synchronization; CLUSTER SYNCHRONIZATION; LYAPUNOV FUNCTIONS; STABILITY;
D O I：
10.15388/NA.2017.5.4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the synchronization of fractional-order neural networks with multiple time delays. Based on an inequality of fractional-order and comparison principles of linear fractional equation with multiple time delays, some sufficient conditions for synchronization of master-slave systems are obtained. Example and related simulations are given to demonstrate the feasibility of the theoretical results.
引用
收藏
页码：636 / 645
页数：10
相关论文
共 50 条
  • [11] 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
  • [12] Finite-Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays
    Chen, Lili
    Gong, Minghao
    Zhao, Yanfeng
    Liu, Xin
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (09)
  • [13] Synchronization of a Class of Fractional-Order Chaotic Neural Networks
    Chen, Liping
    Qu, Jianfeng
    Chai, Yi
    Wu, Ranchao
    Qi, Guoyuan
    [J]. ENTROPY, 2013, 15 (08): : 3265 - 3276
  • [14] Synchronization analysis of fractional-order three-neuron BAM neural networks with multiple time delays
    Zhang, Jianmei
    Wu, Jianwei
    Bao, Haibo
    Cao, Jinde
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 339 : 441 - 450
  • [15] Comparison principle and synchronization analysis of fractional-order complex networks with parameter uncertainties and multiple time delays
    Fan, Hongguang
    Zhu, Jihong
    Wen, Hui
    [J]. AIMS MATHEMATICS, 2022, 7 (07): : 12981 - 12999
  • [16] Global synchronization in finite time for fractional-order neural networks with discontinuous activations and time delays
    Peng, Xiao
    Wu, Huaiqin
    Song, Ka
    Shi, Jiaxin
    [J]. NEURAL NETWORKS, 2017, 94 : 46 - 54
  • [17] Synchronization analysis of fractional-order inertial-type neural networks with time delays
    Peng, Qiu
    Jian, Jigui
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 205 : 62 - 77
  • [18] 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
  • [19] Synchronization analysis of coupled fractional-order neural networks with time-varying delays
    Li, Biwen
    Cheng, Xuan
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (08) : 14846 - 14865
  • [20] 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
12345