Chaos synchronization of discrete-time identical Hénon systems with different orders based on vector norms approach

Author

Gam, Rihab ; Sakly, Anis

Author_Institution

Nat. Eng. Sch. of Monastir, Res. Unit of Ind. Syst. Study & Renewable Energy (ESIER), Skaness, Tunisia

fYear

2014

Firstpage

22

Lastpage

26

Abstract

Suitable stabilization conditions obtained for continuous chaotic systems are generalized, in this paper, to discrete-time chaotic systems. The proposed approach, leading to these conditions for complete synchronization is based on the use of state feedback and aggregation techniques for stability studies associated with the arrow form matrix for system description. The results are successfully applied for two identical Hénon maps with different orders.

Keywords

chaos; discrete time systems; matrix algebra; stability; state feedback; synchronisation; Henon maps; aggregation technique; arrow form matrix; chaos synchronization; continuous chaotic system; discrete-time chaotic system; discrete-time identical Henon system; stabilization condition; state feedback technique; vector norms approach; Asymptotic stability; Chaotic communication; State feedback; Synchronization; Three-dimensional displays; Aggregation techniques; Arrow form matrix; Different order; Discrete-time hyperchaotic Hénon systems; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2014 15th International Conference on

Type

conf

DOI

10.1109/STA.2014.7086700

Filename

7086700