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Adaptive feedback control in complex delayed dynamical networks
Author(s) -
Wang L.,
Dai H. P.,
Sun Y. X.
Publication year - 2008
Publication title -
asia‐pacific journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.348
H-Index - 35
eISSN - 1932-2143
pISSN - 1932-2135
DOI - 10.1002/apj.215
Subject(s) - synchronization (alternating current) , scheme (mathematics) , adaptive control , computer science , complex network , control theory (sociology) , control (management) , lyapunov stability , synchronization networks , feedback control , coupling (piping) , lyapunov function , coupling strength , topology (electrical circuits) , control engineering , mathematics , nonlinear system , engineering , artificial intelligence , computer network , physics , condensed matter physics , mechanical engineering , mathematical analysis , channel (broadcasting) , quantum mechanics , combinatorics , world wide web
Recently, complex networks have attracted a great deal of attention in various fields of nature and society. In this paper, an adaptive feedback control scheme is introduced to synchronize a general complex dynamical network with time‐varying delay. By construction of Lyapunov functional, we deduce that global synchronization of the network model can be guaranteed by the proposed control scheme. Numerical simulation illustrated by a three‐node network shows that the adaptive feedback control scheme can ensure adaptive synchronization of the controlled network even without the information of network topological structure and coupling strength. Copyright © 2008 Curtin University of Technology and John Wiley & Sons, Ltd.