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Synchronization of uncertain complex dynamical networks via adaptive control
Author(s) -
Wang Lei,
Dai Huaping,
Kong Xiangjie,
Sun Youxian
Publication year - 2008
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1326
Subject(s) - synchronization (alternating current) , robustness (evolution) , complex network , lyapunov stability , control theory (sociology) , adaptive control , computer science , network topology , dynamical systems theory , lyapunov function , coupling strength , synchronization networks , topology (electrical circuits) , mathematics , control (management) , nonlinear system , artificial intelligence , biochemistry , chemistry , physics , combinatorics , quantum mechanics , world wide web , gene , condensed matter physics , operating system
In this paper, synchronization of an uncertain dynamical network with time‐varying delay is investigated by means of adaptive control schemes. Time delays and uncertainties exist universally in real‐world complex networks. Especially, parameters of nodes in these complex networks are usually partially or completely uncertain. Considering the networks with unknown or partially known nodes, we design adaptive controllers for the corresponding complex dynamical networks, respectively. Several criteria guaranteeing synchronization of such systems are established by employing the Lyapunov stability theorem. Analytical and numerical results show that the proposed controllers have high robustness against parameter variations including network topologies, coupling structures, and strength. Copyright © 2008 John Wiley & Sons, Ltd.