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

In this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2018-01, Vol.2018 (2018), p.1-8
Main Authors: Bendoukha, Samir, Grassi, Giuseppe, Khennaoui, Amina-Aicha, Ouannas, Adel
Format: Article
Language:English
Subjects:
Calculus
Chaos theory
Dimensional stability
Discrete time systems
Dynamical systems
Physics
Synchronism
Time synchronization
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Summary:In this paper, we propose two control strategies for the Q–S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response system m is higher than that of the drive system n, the first control scheme achieves n-dimensional synchronization whereas the second deals with the m-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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2018/2950357