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Pinning synchronization of complex networks with delayed nodes
Author(s) -
Guo Wanli,
Chen Shihua,
Francis Austin
Publication year - 2015
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2493
Subject(s) - synchronization (alternating current) , complex network , control theory (sociology) , computer science , synchronization networks , coupling (piping) , matrix (chemical analysis) , topology (electrical circuits) , symmetry (geometry) , mathematics , control (management) , engineering , artificial intelligence , mechanical engineering , materials science , combinatorics , geometry , world wide web , composite material
Summary This paper reveals the dynamical mechanism of synchronization in general complex networks with delayed nodes. It considers, in particular, the global synchronization of complex networks without assuming any symmetry in the coupling matrix by using pinning controllers. Sufficient conditions for global synchronization are obtained by suitably adding linear and adaptive feedback controllers to a certain sub‐collection of the nodes and numerical examples that are provided to demonstrate the effectiveness of the theory. Copyright © 2014 John Wiley & Sons, Ltd.