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Decentralized adaptive synchronization of an uncertain complex delayed dynamical network
Received:March 8,2008  Revised:October 12,2008
Keywords:Complex dynamical networks  Synchronization  Adaptive control  Decentralized control
Fund Project:
Weisong ZHONG, Jun ZHAO, Georgi M. DIMIROVSKI 1.Key Laboratory Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang Liaoning 110004, China;2.Department of Information Engineering, The Australian National University, Canberra ACT-0200, Australia;3.Department of Computer Engineering, Dogus University, Istanbul TR-34722, Turkey 
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      In this paper, we investigate the locally and globally adaptive synchronization problem for an uncertain complex dynamical network with time-varying coupling delays based on the decentralized control. The coupling terms here are bounded by high-order polynomials with known gains that are ubiquitous in a large class of complex dynamical networks. We generalize the usual technology of searching for an appropriate coordinates transformation to change the network dynamics into a series of decoupled lower-dimensional systems. Several adaptive synchronization criteria are derived by constructing the Lyapunov-Krasovskii functional and Barbalat lemma, and the proposed criteria are simple in form and convenient for the practical engineering design. Numerical simulations illustrated by a nearest-neighbor coupling network verify the effectiveness of the proposed synchronization scheme.
Weisong ZHONG, Jun ZHAO, Georgi M. DIMIROVSKI.Decentralized adaptive synchronization of an uncertain complex delayed dynamical network[J].Journal of Control Theory and Applications,2009,7(3):225~230.
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