Synchronisation of integer-order and fractional-order discrete-time chaotic systems

This paper studies the synchronisation of integer- and fractional-order discrete-time chaotic systems with different dimensions. Control laws are proposed for the full-state hybrid projective synchronisation (FSHPS) of a master–slave pair, where the difference equations of the master have an integer...

Full description

Saved in:
Bibliographic Details
Published in:Pramāṇa 2019-04, Vol.92 (4), p.1-9, Article 52
Main Authors: Ouannas, Adel, Khennaoui, Amina-Aicha, Zehrour, Okba, Bendoukha, Samir, Grassi, Giuseppe, Pham, Viet-Thanh
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Chaos theory
Control theory
Difference equations
Discrete time systems
Observations and Techniques
Physics
Physics and Astronomy
Stability
Synchronism
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper studies the synchronisation of integer- and fractional-order discrete-time chaotic systems with different dimensions. Control laws are proposed for the full-state hybrid projective synchronisation (FSHPS) of a master–slave pair, where the difference equations of the master have an integer order while those of the slave have a fractional order. Moreover, inverse FSHPS laws are proposed for a fractional-order master and an integer-order slave. The Lyapunov stability theory of integer-order maps and the stability theory of linear fractional-order maps are utilised to establish the asymptotic stability of the zero equilibrium corresponding to the synchronisation error system. Numerical results are presented to verify the findings of the study.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-018-1712-0