<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Laboratory of Design and Conduct of Production Systems

Department of Electrical and Computer Engineering

Center of Excellence in Intelligent Engineering Systems (CEIES)

Electrical and Computer Engineering Department

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts regarding the output-memory observability...

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

Data publikacji: 29 mar 2019

Zakres stron: 179 - 194

Otrzymano: 03 sty 2018

Przyjęty: 18 paź 2018

DOI: https://doi.org/10.2478/amcs-2019-0014

Słowa kluczowe
fractional-order discrete time systems, chaotic map, chaotic synchronization, dead-beat observer, secure data communication

© 2019 Said Djennoune et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Data publikacji: 29 mar 2019

Zakres stron: 179 - 194

Otrzymano: 03 sty 2018

Przyjęty: 18 paź 2018

DOI: https://doi.org/10.2478/amcs-2019-0014

Słowa kluczowefractional-order discrete time systems, chaotic map, chaotic synchronization, dead-beat observer, secure data communication

© 2019 Said Djennoune et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
fractional-order discrete time systems, chaotic map, chaotic synchronization, dead-beat observer, secure data communication