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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

A General Method for Fractional-Integer Order Systems Synchronization

Journal of Applied Nonlinear Dynamics 9(2) (2020) 165--173 | DOI:10.5890/JAND.2020.06.001

Fareh Hannachi

Larbi Tebessi University - Tebessa, Algeria

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Abstract

This paper investigates different type of synchronization between fractional-order (chaotic, hyperchaotic) systems and integer-order (chaotic, hyperchaotic) systems. Based on the idea of the decomposition of the controller in the response system in two sub-controllers and the stability theory of the linear integer-order system, we design the effective controller to realize the synchronization, Antisynchronization, function projective synchronization, inverse function projective synchronization between fractional-order and integer-order systems. Finally, the fractional-order L¨u’s system and the Lorenz system of integer order are used to demonstrate the effectiveness of the proposed method with numerical simulation.

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