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Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers

1
Business School, Shandong Normal University, Jinan 250014, China
2
School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 481; https://doi.org/10.3390/e21050481
Received: 11 April 2019 / Revised: 30 April 2019 / Accepted: 5 May 2019 / Published: 10 May 2019
(This article belongs to the Special Issue Impulsive Control Systems and Complexity)
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Abstract

By designing a state observer, a new type of synchronization named complex modified projective synchronization is investigated in a class of nonlinear fractional-order complex chaotic systems. Combining stability results of the fractional-order systems and the pole placement method, this paper proves the stability of fractional-order error systems and realizes complex modified projective synchronization. This method is so effective that it can be applied in engineering. Additionally, the proposed synchronization strategy is suitable for all fractional-order chaotic systems, including fractional-order hyper-chaotic systems. Finally, two numerical examples are studied to show the correctness of this new synchronization strategy. View Full-Text
Keywords: complex modified projective synchronization; fractional-order complex chaotic system; nonlinear state observer complex modified projective synchronization; fractional-order complex chaotic system; nonlinear state observer
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Li, Z.; Xia, T.; Jiang, C. Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers. Entropy 2019, 21, 481.

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