Hybrid synchronization of discrete-time hyperchaotic systems based on aggregation techniques for image encryption

Based on aggregation techniques associated with the arrow form matrix, to derive the stability property of dynamic discrete-time complex systems, a new strategy of control is formulated for chaos hybrid synchronization of two identical 3D Henon maps. The designed state feedback controller ensures that the state variables of both controlled hyperchaotic slave system globally synchronize, in hybrid manner, with the state variables of the hyperchaotic master system. Numerical simulations are carried out to assess the performance of the proposed contributions in the important field of image encryption and decryption through hyperchaotic hybrid synchronization phenomenon.