Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters

Dehui Liu, Tianzeng Li and Yu Wang
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Dehui Liu: School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Tianzeng Li: School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Yu Wang: School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

Mathematics, 2022, vol. 10, issue 3, 1-16

Abstract: The problem of the dual synchronization of two different fractional-order chaotic systems with uncertain parameters is studied. This paper introduces a synchronization method in accordance with Lyapunov stability theory, and the adaptive controllers and adaptive laws are designed to realize the dual synchronization of fractional order chaotic systems. Finally, two numerical examples of unknown different fractional-order chaotic systems are also given to prove the accuracy of the theory in the paper, and the effectiveness and performance of the proposed adaptive dual synchronization strategy are verified by simulation.

Keywords: fractional derivative; dual combination synchronization; chaotic system; adaptive control; lyapunov stability theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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