Pinning control for cluster synchronisation of complex dynamical networks withsemi-Markovian jump topology

被引:74
作者
Lee, Tae H. [1 ]
Ma, Qian [2 ]
Xu, Shengyuan [2 ]
Park, Ju H. [1 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, 280 Daehak Ro, Kyongsan 712749, South Korea
[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
基金
新加坡国家研究基金会;
关键词
semi-Markovian; complex dynamical networks; cluster synchronisation; pinning control; EXPONENTIAL SYNCHRONIZATION; SYSTEMS;
D O I
10.1080/00207179.2014.1002110
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, a pinning controller is designed for cluster synchronisation of complex dynamical networks with semi-Markovian jump topology, which covers the concept of the conventional Markovian jump as a special case. To decide on the pinned-node for the cluster synchronisation, a novel procedure is proposed based on a topological structure. In addition, criteria for the synchronisation are separately derived for the controller with the mode-independent and mode-dependent pinned-node, respectively. A practical example is given to illustrate the effectiveness of the proposed methods.
引用
收藏
页码:1223 / 1235
页数:13
相关论文
共 29 条
[1]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[2]   Pinning complex networks by a single controller [J].
Chen, Tianping ;
Liu, Xiwei ;
Lu, Wenlian .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (06) :1317-1326
[3]   Phase synchronization control of complex networks of Lagrangian systems on adaptive digraphs [J].
Chung, Soon-Jo ;
Bandyopadhyay, Saptarshi ;
Chang, Insu ;
Hadaegh, Fred Y. .
AUTOMATICA, 2013, 49 (05) :1148-1161
[4]   Synchronisation analysis and impulsive control of complex networks with coupling delays [J].
Dai, Y. ;
Cai, Y. ;
Xu, X. .
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (09) :1167-1174
[5]  
ERDOS P, 1960, B INT STATIST INST, V38, P343
[6]  
Erdos P, 1959, Publicationes Mathematicae, V6, P290, DOI DOI 10.5486/PMD.1959.6.3-4.12
[7]   Pinning dynamic systems of networks with Markovian switching couplings and controller-node set [J].
Han, Yujuan ;
Lu, Wenlian ;
Li, Zhe ;
Chen, Tianping .
SYSTEMS & CONTROL LETTERS, 2014, 65 :56-63
[8]   Stochastic stability and robust stabilization of semi-Markov jump linear systems [J].
Huang, Ji ;
Shi, Yang .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) :2028-2043
[9]  
Huang J, 2011, IEEE DECIS CONTR P, P4668, DOI 10.1109/CDC.2011.6161313
[10]   Adaptive lag synchronization for uncertain complex dynamical network with delayed coupling [J].
Ji, D. H. ;
Jeong, S. C. ;
Park, Ju H. ;
Lee, S. M. ;
Won, S. C. .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) :4872-4880