Synchronization Criteria for Delayed Fractional-Order Neural Networks via Linear Feedback Control

被引:0
作者
Fan, Yingjie [1 ]
Huang, Xia [1 ]
Wang, Xiaohong [2 ]
Yao, Lan [2 ]
机构
[1] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China
来源
2019 CHINESE AUTOMATION CONGRESS (CAC2019) | 2019年
基金
中国国家自然科学基金;
关键词
fractional-order neural networks; synchronization; time delay; linear feedback; PROJECTIVE SYNCHRONIZATION; STABILITY;
D O I
10.1109/cac48633.2019.8996178
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the synchronization problem is addressed for delayed fractional-order neural networks (FNNs). First, a simple linear feedback controller is constructed, which is easy to be implemented in practical application. Then, by using appropriate fractional-order Lyapunov functions, fractional Halanay inequality and inequality techniques, two novel synchronization criteria are established, respectively. Numerical examples are finally offered to display the effectiveness of the developed methods.
引用
收藏
页码:4280 / 4284
页数:5
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  • [1] Projective synchronization of nonidentical fractional-order neural networks based on sliding mode controller
    Ding, Zhixia
    Shen, Yi
    [J]. NEURAL NETWORKS, 2016, 76 : 97 - 105
  • [2] Aperiodically Intermittent Control for Quasi-Synchronization of Delayed Memristive Neural Networks: An Interval Matrix and Matrix Measure Combined Method
    Fan, Yingjie
    Huang, Xia
    Li, Yuxia
    Xia, Jianwei
    Chen, Guanrong
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2019, 49 (11): : 2254 - 2265
  • [3] Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses
    Pratap, A.
    Raja, R.
    Sowmiya, C.
    Bagdasar, O.
    Cao, Jinde
    Rajchakit, G.
    [J]. NEURAL NETWORKS, 2018, 103 : 128 - 141
  • [4] DISSIPATIVITY AND STABILITY ANALYSIS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS
    Wang, Dongling
    Xiao, Aiguo
    Liu, Hongliang
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (06) : 1399 - 1422
  • [5] Stability analysis of fractional-order neural networks: An LMI approach
    Yang, Ying
    He, Yong
    Wang, Yong
    Wu, Min
    [J]. NEUROCOMPUTING, 2018, 285 : 82 - 93
  • [6] Projective synchronization for fractional neural networks
    Yu, Juan
    Hu, Cheng
    Jiang, Haijun
    Fan, Xiaolin
    [J]. NEURAL NETWORKS, 2014, 49 : 87 - 95
  • [7] 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
  • [8] LMI Conditions for Global Stability of Fractional-Order Neural Networks
    Zhang, Shuo
    Yu, Yongguang
    Yu, Junzhi
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2017, 28 (10) : 2423 - 2433
  • [9] Mittag-Leffler stability of fractional-order Hopfield neural networks
    Zhang, Shuo
    Yu, Yongguang
    Wang, Hu
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2015, 16 : 104 - 121