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Synchronisation of complex networks via partial contraction principle

Synchronisation of complex networks via partial contraction principle Based on partial contraction principle, we study the complete synchronisation for approximately globally coupled networks (almost all nodes are connected). By contraction for a system, we mean that initial conditions or temporary disturbances are forgotten exponentially fast, so that all trajectories of this system converge to a unique trajectory. We identify the region of coupling strength required for achieving synchronisation for these networks without using the eigenvalues of their coupling matrices. Avoiding the computation of the eigenvalues of coupling matrix, this method becomes more effective as to studying the problem of synchronisation for that kinds of network than most other approaches. Numerical examples verify the efficiency of this method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

Synchronisation of complex networks via partial contraction principle

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2009.026319
Publisher site
See Article on Publisher Site

Abstract

Based on partial contraction principle, we study the complete synchronisation for approximately globally coupled networks (almost all nodes are connected). By contraction for a system, we mean that initial conditions or temporary disturbances are forgotten exponentially fast, so that all trajectories of this system converge to a unique trajectory. We identify the region of coupling strength required for achieving synchronisation for these networks without using the eigenvalues of their coupling matrices. Avoiding the computation of the eigenvalues of coupling matrix, this method becomes more effective as to studying the problem of synchronisation for that kinds of network than most other approaches. Numerical examples verify the efficiency of this method.

Journal

International Journal of Systems, Control and CommunicationsInderscience Publishers

Published: Jan 1, 2009

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