On observer-based secure communication design using discrete-time hyperchaotic systems

• Stabilization conditions are proposed to achieve chaos synchronization.
• Arrow form matrix is used for chaotic error system description.
• The new approach is based on aggregation techniques for stability study.
• Hyperchaotic maps synchronization is achieved via a scalar signal.
• Third order generalized Hénon maps are used to illustrate approach efficiency.

Stabilization conditions are proposed in this paper for master and slave hyperchaotic discrete-time systems synchronization. They are based on the use of an hyperchaotic observer system for variables estimation and of the aggregation techniques for stability study associated to the Benrejeb arrow form matrix for system description. Numerical simulation results illustrate the efficiency of these conditions and the success of message signal transmission for the considered cryptosystem communication, based on third order generalized hyperchaotic Hénon maps as transmitter and receiver key.