Distributed Adaptive Control of Synchronization in Complex Networks

被引:328
作者
Yu, Wenwu [1 ,2 ]
DeLellis, Pietro [4 ]
Chen, Guanrong [3 ]
di Bernardo, Mario [4 ,5 ]
Kurths, Juergen [6 ,7 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
[4] Univ Naples Federico II, Dept Syst & Comp Engn, I-80125 Naples, Italy
[5] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England
[6] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3FX, Scotland
[7] Inst Climate Impact Res, Potsdam, Germany
基金
高等学校博士学科点专项科研基金; 中国国家自然科学基金;
关键词
Complex network; distributed adaptive law; pinning control; synchronization; GLOBAL SYNCHRONIZATION; DYNAMICAL NETWORKS; SYSTEMS; FLOCKING; AGENTS;
D O I
10.1109/TAC.2012.2183190
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 technical note studies distributed adaptive control of synchronization in complex networks. An effective distributed adaptive strategy to tune the coupling weights of a network is designed based on local information of node dynamics. The analysis is then extended to the case where only a small fraction of coupling weights can be adjusted. A general criterion is derived and it is found that synchronization can be reached if the subgraph consisting of the edges and nodes corresponding to the updated coupling weights is connected. Finally, simulation examples are given to illustrate the theoretical analysis.
引用
收藏
页码:2153 / 2158
页数:6
相关论文
共 38 条
[21]   THE DOUBLE SCROLL [J].
MATSUMOTO, T ;
CHUA, LO ;
KOMURO, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (08) :797-818
[22]  
NEWMAN M.E. J., 2006, The Structure and Dynamics of Complex Networks
[23]   Flocking for multi-agent dynamic systems: Algorithms and theory [J].
Olfati-Saber, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (03) :401-420
[24]   Consensus problems in networks of agents with switching topology and time-delays [J].
Olfati-Saber, R ;
Murray, RM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (09) :1520-1533
[25]   Effects of Delay in Multi-Agent Consensus and Oscillator Synchronization [J].
Papachristodoulou, Antonis ;
Jadbabaie, Ali ;
Muenz, Ulrich .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (06) :1471-1477
[26]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[27]  
Ren W, 2008, COMMUN CONTROL ENG, P3
[28]   How to Synchronize Biological Clocks [J].
Russo, G. ;
Di Bernardo, M. .
JOURNAL OF COMPUTATIONAL BIOLOGY, 2009, 16 (02) :379-393
[29]   Dynamic graphs [J].
Siljak, D. D. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (02) :544-567
[30]   Flocking in fixed and switching networks [J].
Tanner, Herbert G. ;
Jadbabaie, Ali ;
Pappas, George J. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :863-868