Adaptive synchronization in chaotic systems with an identical but noise perturbed response system is investigated in this study. The sufficient condition is derived for global synchronization for a large class of chaotic and hyperchaotic systems in which noise perturbation is taken into account in the response system. Delayed feedback control is used to control the synchronization, and gains are obtained by adaptive law. Moreover, the unknown parameters are also estimated even in the presence of noise. The criteria are tested on the LorenzStenflo system to show the effectiveness of the proposed method.
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