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On the – Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples

Author

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  • Adel Ouannas
  • Amina-Aicha Khennaoui
  • Giuseppe Grassi
  • Samir Bendoukha

Abstract

In this paper, we propose two control strategies for the – synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system is higher than that of the drive system , the first control scheme achieves -dimensional synchronization whereas the second deals with the -dimensional case. The stability of the proposed schemes is established by means of the linearization method. Numerical results are presented to confirm the findings of the study.

Suggested Citation

  • Adel Ouannas & Amina-Aicha Khennaoui & Giuseppe Grassi & Samir Bendoukha, 2018. "On the – Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-8, September.
    • Handle: RePEc:hin:jnddns:2950357
    DOI: 10.1155/2018/2950357
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    Cited by:

    1. Ouannas, Adel & Khennaoui, Amina-Aicha & Odibat, Zaid & Pham, Viet-Thanh & Grassi, Giuseppe, 2019. "On the dynamics, control and synchronization of fractional-order Ikeda map," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 108-115.

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