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Journal of Systems Science and Complexity

, Volume 30, Issue 5, pp 1012–1026 | Cite as

Discrete-time chaotic systems synchronization based on vector norms approach

  • Rihab GamEmail author
  • Anis Sakly
Article
  • 90 Downloads

Abstract

Suitable stabilization conditions obtained for continuous chaotic systems are generalized 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 discrete-time hyper chaotic Henon maps with different orders and also for non-identical discrete-time chaotic systems with same order namely the Lozi and the Ushio maps.

Keywords

Aggregation techniques arrow form matrix different order discrete-time chaotic systems synchronization 

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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Industrial Systems Study and Renewable Energy (ESIER), the National Engineering School of Monastir (ENIM)University of MonastirSkanesTunisia

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