Fixed-time outer synchronization of hybrid-coupled delayed complex networks via periodically semi-intermittent control

被引:55
作者
Gan, Qintao [1 ]
Xiao, Feng [1 ]
Sheng, Hui [1 ]
机构
[1] Army Engn Univ, Shijiazhuang Campus, Shijiazhuang 050003, Hebei, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 12期
基金
中国国家自然科学基金;
关键词
FINITE-TIME; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; STOCHASTIC SYNCHRONIZATION; MULTIAGENT SYSTEMS; VARYING DELAYS; CONSENSUS; STABILITY;
D O I
10.1016/j.jfranklin.2019.03.033
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 fixed-time synchronization between two delayed complex networks with hybrid couplings is investigated. The internal delay, transmission coupling delay and self-feedback coupling delay are all included in the network model. By introducing and proving a new and important differential equality, and utilizing periodically semi-intermittent control, some fixed-time synchronization criteria are derived in which the settling time function is bounded for any initial values. It is shown that the control rate, network size and node dimension heavily influence the estimating for the upper bound of the convergence time of synchronization state. Finally, numerical simulations are performed to show the feasibility and effectiveness of the control methodology by comparing with the corresponding finite-time synchronization problem. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:6656 / 6677
页数:22
相关论文
共 52 条
[1]   Finite-time robust stochastic synchronization of uncertain Markovian complex dynamical networks with mixed time-varying delays and reaction diffusion terms via impulsive control [J].
Ali, M. Syed ;
Yogambigai, J. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (05) :2415-2436
[2]   Synchronization in complex networks [J].
Arenas, Alex ;
Diaz-Guilera, Albert ;
Kurths, Jurgen ;
Moreno, Yamir ;
Zhou, Changsong .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153
[3]  
Bhat SP, 1997, P AMER CONTR CONF, P2513, DOI 10.1109/ACC.1997.609245
[4]   Cluster synchronization for directed heterogeneous dynamical networks via decentralized adaptive intermittent pinning control [J].
Cai, Shuiming ;
Jia, Qiang ;
Liu, Zengrong .
NONLINEAR DYNAMICS, 2015, 82 (1-2) :689-702
[5]   Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control [J].
Cai, Shuiming ;
Zhou, Peipei ;
Liu, Zengrong .
CHAOS, 2014, 24 (03)
[6]   Fixed-time synchronization of hybrid coupled networks with time-varying delays [J].
Chen, Chuan ;
Li, Lixiang ;
Peng, Haipeng ;
Kurths, Jurgen ;
Yang, Yixian .
CHAOS SOLITONS & FRACTALS, 2018, 108 :49-56
[7]  
Chen G., 2015, Introduction to Complex Networks: Models, Structures and Dynamics
[8]   Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control [J].
Cheng, Lin ;
Yang, Yongqing ;
Li, Li ;
Sui, Xin .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 500 :273-286
[9]   Synchronization in complex networks of phase oscillators: A survey [J].
Doerfler, Florian ;
Bullo, Francesco .
AUTOMATICA, 2014, 50 (06) :1539-1564
[10]   Finite-time synchronization analysis for general complex dynamical networks with hybrid couplings and time-varying delays [J].
Feng, Jianwen ;
Li, Na ;
Zhao, Yi ;
Xu, Chen ;
Wang, Jingyi .
NONLINEAR DYNAMICS, 2017, 88 (04) :2723-2733