Synchronization and Robust Synchronization for Fractional-Order Coupled Neural Networks

被引:35
作者
Wang, Shuxue [1 ]
Huang, Yanli [2 ]
Ren, Shunyan [3 ]
机构
[1] Tianjin Polytechn Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Tianjin Polytechn Univ, Sch Comp Sci & Software Engn, Tianjin Key Lab Optoelect Detect Technol & System, Tianjin 300387, Peoples R China
[3] Tianjin Polytechn Univ, Sch Mech Engn, Tianjin 300387, Peoples R China
基金
中国国家自然科学基金;
关键词
Synchronization; robust synchronization; pinning control; fractional-order coupled neural networks; MITTAG-LEFFLER STABILITY; CLUSTER SYNCHRONIZATION; SYSTEM; ARRAY;
D O I
10.1109/ACCESS.2017.2721950
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Synchronization and robust synchronization of fractional-order coupled neural networks (FCNNs) are considered in this paper. Different with the most published works on synchronization based on a special solution of an isolate node of the networks, we remove this restriction and introduce a more widely accepted definition of synchronization. Meanwhile, because of parametric uncertainties of network models, robust synchronization for FCNNs is investigated. In addition, by utilizing pinning control strategies, several sufficient conditions are derived to make sure that the considered networks can realize pinning synchronization and robust pinning synchronization. Finally, the correctness of the obtained results is substantiated by two given numerical examples.
引用
收藏
页码:12439 / 12448
页数:10
相关论文
共 49 条
[1]   Synchronization of Fractional-Order Delayed Neural Networks with Hybrid Coupling [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
COMPLEXITY, 2016, 21 (S1) :106-112
[2]   Adaptive pinning synchronization in fractional-order complex dynamical networks [J].
Chai, Yi ;
Chen, Liping ;
Wu, Ranchao ;
Sun, Jian .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (22) :5746-5758
[3]   Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
NEURAL NETWORKS, 2014, 51 :1-8
[4]   Dynamic analysis of a class of fractional-order neural networks with delay [J].
Chen, Liping ;
Chai, Yi ;
Wu, Ranchao ;
Ma, Tiedong ;
Zhai, Houzhen .
NEUROCOMPUTING, 2013, 111 :190-194
[5]  
Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI [10.1007/s11071-006-9094-0, 10.1007/s11071 -006-9094-0]
[6]   Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control [J].
Feng, Jianwen ;
Yang, Pan ;
Zhao, Yi .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 291 :52-68
[7]   Intelligent Visual Recognition and Classification of Cork Tiles With Neural Networks [J].
Georgieva, Antoniya ;
Jordanov, Ivan .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (04) :675-685
[8]   Synchronization for an array of neural networks with hybrid coupling by a novel pinning control strategy [J].
Gong, Dawei ;
Lewis, Frank L. ;
Wang, Liping ;
Xu, Ke .
NEURAL NETWORKS, 2016, 77 :41-50
[9]  
Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716
[10]   Synchronization-based parameter estimation of fractional-order neural networks [J].
Gu, Yajuan ;
Yu, Yongguang ;
Wang, Hu .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 483 :351-361