Title: Control of continuous-time chaotic (hyperchaotic) systems: F-M synchronisation

Authors: Adel Ouannas; Ahmad Taher Azar; Toufik Ziar

Addresses: Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa, 12002, Algeria ' Faculty of Computers and Information, Benha University, Egypt; School of Engineering and Applied Sciences, Nile University Campus, Sheikh Zayed District, Juhayna Square, 6th of October City, Giza 12588, Egypt ' Department of Material Sciences, University of Tebessa, 12002, Algeria

Abstract: In this paper, a new type of chaos synchronisation between different dimensional chaotic systems is proposed. The novel scheme is called F-M synchronisation, since it combines the inverse generalised synchronisation with the matrix projective synchronisation. In particular, the proposed approach enables F-M synchronisation 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 continuous-time dynamical systems and Lyapunov stability theory, proves to be effective in achieving the F-M synchronisation. Finally, simulation results are reported, with the aim to illustrate the capabilities of the novel scheme proposed herein.

Keywords: chaotic systems; different dimensions; matrix projective synchronisation; MPS; nonlinear controllers; inverse generalised synchronisation; IGS.

DOI: 10.1504/IJAAC.2019.098215

International Journal of Automation and Control, 2019 Vol.13 No.2, pp.226 - 242

Received: 25 Apr 2017
Accepted: 20 Sep 2017
Published online: 06 Mar 2019 *

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