Automatica (Journal of IFAC)
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On the basis of Lyapunov stability theory and LMI technique, this paper investigates H∞ synchronization control of time-varying synchronization state in general complex networks with time-delay and external disturbances. H∞ synchronization controllers have been designed for nodes of controlled network and the H∞ control law for asymptotically (exponentially) synchronization are derived via defining an appropriate controlled output. Besides, under the desired H∞ performance index, the control criteria which guarantee complex networks synchronization with a time-varying state are revealed by LMI. Finally, a simulation example is given to demonstrate the effectiveness of the theoretical results.