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On-line Access: 2011-06-07

Received: 2010-05-28

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Journal of Zhejiang University SCIENCE C 2011 Vol.12 No.6 P.470-477

http://doi.org/10.1631/jzus.C1010247


Number estimation of controllers for pinning a complex dynamical network


Author(s):  Lei Wang, Huan Shi, You-xian Sun

Affiliation(s):  School of Mathematics and Systems Science and LMIB, Beihang University, Beijing 100191, China, State Key Lab of Industrial Control Technology, Institute of Industrial Process Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   lwang@buaa.edu.cn

Key Words:  Pinning control, Number estimation, Synchronization, Complex networks


Lei Wang, Huan Shi, You-xian Sun. Number estimation of controllers for pinning a complex dynamical network[J]. Journal of Zhejiang University Science C, 2011, 12(6): 470-477.

@article{title="Number estimation of controllers for pinning a complex dynamical network",
author="Lei Wang, Huan Shi, You-xian Sun",
journal="Journal of Zhejiang University Science C",
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number="6",
pages="470-477",
year="2011",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.C1010247"
}

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%A You-xian Sun
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%P 470-477
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%D 2011
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.C1010247

TY - JOUR
T1 - Number estimation of controllers for pinning a complex dynamical network
A1 - Lei Wang
A1 - Huan Shi
A1 - You-xian Sun
J0 - Journal of Zhejiang University Science C
VL - 12
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SP - 470
EP - 477
%@ 1869-1951
Y1 - 2011
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.C1010247


Abstract: 
number estimation of controllers is a fundamental question in pinning synchronization of complex networks. This paper studies the problem of controller number in synchronizing a complex network of coupled dynamical systems by means of pinning. For a complex network with a symmetric coupling matrix and full coupling between the nodes, we formulate network synchronization via pinning as a linear matrix inequality criterion, and provide a lower bound and an upper bound of the controller number for a given complex network with fixed architecture. Several numerical examples with Barabási-Albert network topologies are provided to verify our theoretical results.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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