On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples-Reference-Cited by-同舟云学术

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

Published:2018-09-10 Issue: Volume:2018 Page:1-8
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ouannas Adel¹,Khennaoui Amina-Aicha²,Grassi Giuseppe³,Bendoukha Samir⁴^ORCID

Affiliation:

1. Mathematics and Computer Science Department, Tebessa University, 12062, Algeria

2. Department of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

3. Universita del Salento, Dipartimento Ingegneria Innovazione, 73100 Lecce, Italy

4. Department of Electrical Engineering, College of Engineering, Yanbu, Taibah University, Saudi Arabia

Abstract

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.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2018/2950357.pdf

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