State feedback-based secure image cryptosystem using hyperchaotic synchronization

•New state feedback-based synchronization problem for coupled 4-D chaotic systems is proposed.•Specific properties are used to develop a slave system to synchronize with a master system.•Feedback-based synchronization of hyperchaotic systems is applied to transmit an encoded image.•High security of the proposed cryptosystem is presented through a performance analysis.•Simulation results show that image encryption and decryption are so good.

This paper deals with a new state feedback-based synchronization problem for coupled hyperchaotic systems. In the beginning, complete synchronization conditions of coupled chaotic systems, are provided. The active control law developed is based on the use of both aggregation techniques for error dynamics stability study and the arrow form matrix for systems description. After that, the proposed feedback-based synchronization between two identical hyperchaotic systems is successfully applied for transmitting an encoded image. To finish, numerical simulations are carried out to assess the performance and the efficiency of the proposed contributions in the important field of secure image encryption.