Synchronization of fractional–order discrete–time chaotic systems by an exact delayed state reconstructor: Application to secure communication-Reference-Cited by-同舟云学术

Synchronization of fractional–order discrete–time chaotic systems by an exact delayed state reconstructor: Application to secure communication

Published:2019-03-01 Issue:1 Volume:29 Page:179-194
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Djennoune Said¹,Bettayeb Maamar²³,Al-Saggaf Ubaid Muhsen⁴

Affiliation:

1. Laboratory of Design and Conduct of Production Systems , Mouloud Mammeri University , BP 17 RP 15000 , Tizi-Ouzou , Algeria

2. Department of Electrical and Computer Engineering , University of Sharjah , PO Box 27272 , Sharjah , United Arab Emirates

3. Center of Excellence in Intelligent Engineering Systems (CEIES) , King Abdulaziz University , Al Ehtifalat St, 21589 , Jeddah , Saudi Arabia

4. Electrical and Computer Engineering Department , King Abdulaziz University , Al Ehtifalat St, 21589 , Jeddah , Saudi Arabia

Abstract

Abstract This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts regarding the output-memory observability of non-linear fractional-order discrete-time systems are developed. A rank criterion for output-memory observability is derived. Second, a dead-beat observer which recovers exactly the true state system from the knowledge of a finite number of delayed inputs and delayed outputs is proposed. The case of the presence of an unknown input is also studied. Third, secure data communication based on a generalized fractional-order Hénon map is proposed. Numerical simulations and application to secure speech communication are presented to show the efficiency of the proposed approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.sciendo.com/pdf/10.2478/amcs-2019-0014

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