@misc{Djennoune_Said_Synchronization, author={Djennoune, Said and Bettayeb, Maamar and Al-Saggaf, Ubaid Muhsen}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, 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.}, type={artykuł}, title={Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: Application to secure communication}, keywords={fractional-order discrete time systems, chaotic map, chaotic synchronization, dead-beat observer, secure data communication}, }