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Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay |
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| Authors: | DH Ji WJ Yoo SM Lee |
| Institution: | a Mobile Communication Division, Digital Media and Communications, Samsung Electronics, Co. Ltd., 461-2 Maetan-Dong, Suwon 443-803, Republic of Korea b Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan 712-749, Republic of Korea c Department of Electronic and Electrical Engineering, Pohang University of Science and Technology, San 31 Hyoja-Dong, Pohang 790-784, Republic of Korea d School of Electronics Engineering, Daegu University, Kyongsan, Republic of Korea |
| Abstract: | In this Letter, the synchronization problem for a class of complex dynamical networks in which every identical node is a Lur'e system with time-varying delay is considered. A delay-dependent synchronization criterion is derived for the synchronization of complex dynamical network that represented by Lur'e system with sector restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the each nodes and the isolated node. Using a convex representation of the nonlinearity for error dynamics, the stability condition based on the discretized Lyapunov-Krasovskii functional is obtained via LMI formulation. The proposed delay-dependent synchronization criterion is less conservative than the existing ones. The effectiveness of our work is verified through numerical examples. |
| Keywords: | Complex dynamical networks Lur'e systems Synchronization Delay dependent criterion Absolute stability LMIs |
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