Analysis and pinning control for generalized synchronization of delayed coupled neural networks with different dimensional nodes

被引:19
作者
Huang, Yanli [1 ,2 ]
Chen, Weizhong [1 ]
Ren, Shunyan [3 ]
Zheng, Zewei [4 ]
机构
[1] Tianjin Polytech Univ, Tianjin Key Lab Optoelect Detect Technol & Syst, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Peoples R China
[3] Tianjin Polytech Univ, Sch Mech Engn, Tianjin 300387, Peoples R China
[4] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 13期
基金
中国国家自然科学基金;
关键词
COMPLEX DYNAMICAL NETWORKS; EXPONENTIAL STABILITY ANALYSIS; EXTENDED DISSIPATIVITY; CLUSTER SYNCHRONIZATION; ROBUST SYNCHRONIZATION; STABILIZATION; CRITERIA; ARRAY;
D O I
10.1016/j.jfranklin.2018.05.055
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigate the generalized synchronization and pinning adaptive generalized synchronization for delayed coupled different dimensional neural networks with hybrid coupling, respectively. First, some sufficient conditions for reaching the generalized synchronization and pinning generalized synchronization of the considered network are acquired by using some inequality techniques and Lyapunov functional method. Second, because the precise parameter values of network cannot be obtained in some situations, we also purse the study on the generalized synchronization analysis and pinning con-trol for the case of coupled different dimensional neural networks with parameter uncertainties. Third, two numerical examples are provided for substantiating the effectiveness of the derived results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:5968 / 5997
页数:30
相关论文
共 61 条
  • [1] Synchronization of Complex Networks With Impulsive Control and Disconnected Topology
    Chen, Yao
    Yu, Wenwu
    Li, Fangfei
    Feng, Shasha
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2013, 60 (05) : 292 - 296
  • [2] The synchronization of complex dynamical networks with similar nodes and coupling time-delay
    Fan, Yong-Qing
    Wang, Yin-He
    Zhang, Yun
    Wang, Qin-Ruo
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (12) : 6719 - 6728
  • [3] New criteria for synchronization stability of general complex dynamical networks with coupling delays
    Gao, Huijun
    Lam, James
    Chen, Guanrong
    [J]. PHYSICS LETTERS A, 2006, 360 (02) : 263 - 273
  • [4] Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716
  • [5] GU K., 2003, CONTROL ENGN SER BIR
  • [6] Exponential input-to-state stability for complex-valued memristor-based BAM neural networks with multiple time-varying delays
    Guo, Runan
    Zhang, Ziye
    Liu, Xiaoping
    Lin, Chong
    Wang, Haixia
    Chen, Jian
    [J]. NEUROCOMPUTING, 2018, 275 : 2041 - 2054
  • [7] Existence, uniqueness, and exponential stability analysis for complex-valued memristor-based BAM neural networks with time delays
    Guo, Runan
    Zhang, Ziye
    Liu, Xiaoping
    Lin, Chong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 311 : 100 - 117
  • [8] Pattern recognition via synchronization in phase-locked loop neural networks
    Hoppensteadt, FC
    Izhikevich, EM
    [J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (03): : 734 - 738
  • [9] Internet - Growth dynamics of the World-Wide Web
    Huberman, BA
    Adamic, LA
    [J]. NATURE, 1999, 401 (6749) : 131 - 131
  • [10] Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism
    Li, Lulu
    Ho, Daniel W. C.
    Cao, Jinde
    Lu, Jianquan
    [J]. NEURAL NETWORKS, 2016, 76 : 1 - 12