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

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.