On the Q–S Chaos Synchronization of Fractional-Order Discrete-Time Systems: General Method and Examples. (10th September 2018)

• Record Type: Journal Article
• Authors: Ouannas, Adel; Khennaoui, Amina-Aicha; Grassi, Giuseppe; Bendoukha, Samir
• Other Names: Peterson Allan C. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-09-10
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/2950357
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : In this paper, we propose two control strategies for theQ –S synchronization of fractional-order discrete-time chaotic systems. Assuming that the dimension of the response systemm is higher than that of the drive systemn, the first control scheme achievesn -dimensional synchronization whereas the second deals with them -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.