Pinning Complex Networks by a Single Controller

In this paper, without assuming symmetry, irreducibility, or linearity of the couplings, we prove that a single controller can pin a coupled complex network to a homogenous solution. Sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally. An effe...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Vol. 54; no. 6; pp. 1317 - 1326
Main Authors: Tianping Chen, Tianping Chen, Xiwei Liu, Xiwei Liu, Wenlian Lu, Wenlian Lu
Format: Journal Article
Language:English
Published: New York IEEE 01.06.2007
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Chaos
Circuits
Complex networks
Computer simulation
Control systems
Convergence
Coupling circuits
Couplings
Dynamical networks
Joining
Laboratories
Linearity
Linearly coupled networks
Mathematical models
Mathematics
Network topology
Networks
Nonlinearly coupled networks
Oscillators
Pinning
pinning control
Stability
ISSN:1549-8328, 1558-0806
Online Access:Get full text
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Summary:In this paper, without assuming symmetry, irreducibility, or linearity of the couplings, we prove that a single controller can pin a coupled complex network to a homogenous solution. Sufficient conditions are presented to guarantee the convergence of the pinning process locally and globally. An effective approach to adapt the coupling strength is proposed. Several numerical simulations are given to verify our theoretical analysis.
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ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2007.895383