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

• Autorzy: Djennoune Said , Bettayeb Maamar , Al-Saggaf Ubaid Muhsen

Identyfikatory

DOI

10.2478/amcs-2019-0014

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional order; discrete time system; chaotic map; chaotic synchronization; dead-beat observer; secure data communication

PL

rząd ułamkowy; układ dyskretny; synchronizacja chaosu; komunikacja bezpieczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 1
• Strony: 179--194
• Opis fizyczny: Bibliogr. 71 poz., rys., wykr.

Twórcy

autor

Djennoune Said

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

autor

Bettayeb Maamar

• Department of Electrical and Computer Engineering, University of Sharjah, PO Box 27272, Sharjah, United Arab Emirates; Center of Excellence in Intelligent Engineering Systems (CEIES), King Abdulaziz University, Al Ehtifalat St, 21589, Jeddah, Saudi Arabia

autor

Al-Saggaf Ubaid Muhsen

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

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).