Λ − φ generalized synchronization: application to fractional hyperchaotic systems with arbitrary dimensions and orders. (1st October 2020)

• Record Type: Journal Article
• Authors: Ouannas, A.; Wang, X.; Pham, V.-T.; Ziar, T.
• Is Part Of: Automatika. Volume 61:Number 4(2020)
• Page Start: 554
• Page End: 563
• Publication Date: 2020-10-01
• Subjects: Chaos -- inverse matrix projective synchronization -- generalized synchronization -- Lyapunov stability theory -- fractional hyperchaotic systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1080/00051144.2020.1795465
• Languages: English
• ISSNs: 0005-1144

Abstract

Abstract : This paper investigates the Λ − ϕ generalized synchronization between non-identical fractional-order systems characterized by different dimensions and different orders. The Λ − ϕ generalized synchronization combines the inverse matrix projective synchronization with the generalized synchronization. In particular, the proposed approach enables Λ − ϕ generalized synchronization to be achieved between n -dimensional master system and m -dimensional slave system in different dimensions. The technique, which exploits nonlinear controllers, stability property of integer-order linear systems and Lyapunov stability theory, proves to be effective in achieving the Λ − ϕ generalized synchronization. Finally, the approach is applied between 4-D and 5-D fractional hyperchaotic systems with the aim to illustrate the capabilities of the novel scheme proposed herein.