Robust delay-dependent α-synchronization of a class of uncertain noise-perturbed time-delayed chaotic and hyper-chaotic systems

In this paper, a robust delay-dependent α-synchronization via output feedback for a class of uncertain noise-perturbed time-delayed chaotic systems with unequally perturbed parameters is considered. Based on the Lyapunov-Krasovskii stability theorem and linear matrix inequality (LMI) technique, a criterion is obtained to guarantee that the slave system is robustly α-synchronized to the master system, and the effects of noise perturbation on the synchronization error is attenuated to a prescribed level using an H∞ performance index. Finally, numerical simulations on chaotic and hyper chaotic systems are presented to show the effectiveness of the proposed synchronization scheme.