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Adaptive lag synchronization for uncertain complex dynamical network with delayed coupling
Authors:DH JiJu H Park  SM LeeSC Won
Institution:a Mobile communication Division, Digital Media and Communications, Samsung Electronics Co. Ltd., Maetan-dong, Suwon 416-2, Republic of Korea
b Department of Electronic and Electrical Engineering, POSTECH, San 31 Hyoja-Dong, Pohang 790-784, Republic of Korea
c Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-dong, Kyongsan 712-749, Republic of Korea
d Department of Electronic Engineering, Daegu University, Gyungsan 712-714, Republic of Korea
Abstract:This paper proposes an adaptive control method to achieve the lag synchronization between uncertain complex dynamical network having delayed coupling and a non-identical reference node. Unknown parameters of both the network and reference node are estimated by adaptive laws obtained by Lyapunov stability theory. With the estimated parameters, the proposed method guarantees the globally asymptotical synchronization of the network in spite of unknown bounded disturbances. The effectiveness of our work is verified through a numerical example and simulation.
Keywords:Adaptive lag synchronization  Complex dynamic network (CDN)  Parameter uncertainty  Disturbance
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