Abstract
This paper is concerned with synchronization in a setting time for drive-response chaotic systems with multiple time-varying delays. The driving and response systems exhibit different dynamical behaviors with nonidentical delays and uncertain bounded external perturbations. Due to the time delays, existing finite-time stability theorem cannot be applied to the synchronization goal. By designing suitable controller and designing some Lyapunov–Krasovskii functionals, sufficient conditions guaranteeing the finite-time synchronization are derived without using existing finite-time stability theorem. Results of this paper extend most of existing ones which can only finite-timely synchronize coupled identical systems without delay. Numerical simulations demonstrate the effectiveness of the theoretical analysis.
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