Hybrid Function Projective Synchronization via a Nonlinear Control

This paper derives new good and active results for designing a nonlinear controller strategy for the hybrid function projective synchronization (HFPS) between two identical 4D hyperchaotic systems. The Lyapunov stability theory is used to achieve synchronization based on a nonlinear control technique with unknown parameters. It is found that the proposed scaling function matrix consists of four different elements. Three of them are functions that include quadratic polynomial and two periodic functions, whereas the fourth element is a constant. Accordingly, the complexity is increased, and the security level is improved. Numerical simulations are presented to show the effectiveness of the proposed schemes.