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Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control
Authors:Tae H LeeJu H Park  DH JiOM Kwon  SM Lee
Institution:a Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea
b Mobile Communication Division, Digital Media and Communications, Samsung Electronics, Co. Ltd., 416-2 Maetan-dong, Suwon, Republic of Korea
c School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea
d School of Electronics Engineering, Daegu University, Gyungsan 712-714, Republic of Korea
Abstract:In this paper, the problem of guaranteed cost synchronization for a complex network is investigated. In order to achieve the synchronization, two types of guaranteed cost dynamic feedback controller are designed. Based on Lyapunov stability theory, a linear matrix inequality (LMI) convex optimization problem is formulated to find the controller which guarantees the asymptotic stability and minimizes the upper bound of a given quadratic cost function. Finally, a numerical example is given to illustrate the proposed method.
Keywords:Complex dynamical network  Synchronization  Guaranteed cost control  Dynamic feedback controller
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