Predefined-time synchronization of chaotic systems with different dimensions and applications

Abstract This paper aims to investigate the predefined-time synchronization analysis for two chaotic systems with different dimensions. Firstly, based on the definition of predefined-time stability, we propose a new control protocol that can realize the synchronization of two chaotic systems with different dimensions in predefined-time. Secondly, by using adaptive control the predefined-time synchronization analysis of two different dimensional chaotic systems in the presence of parameter uncertainties is also taken into account. Our results improve and extend some recent works. Finally, the efficacy of the obtained results is proven by numerical simulations.

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