Adaptive Full State Hybrid Function Projective Lag Synchronization in Chaotic Continuous-Time System

Abstract

Based on the Lyapunov stability theory, an adaptive full state hybrid function projective lag synchronization (FSHFPLS) scheme is investigated in chaotic continuous-time system, and a unified adaptive controller and parameters update law are designed for achieved the projective lag synchronization up to a desired scaling function. In addition, a scheme for secure communication is presented. Numerical simulations are performed to verify and illustrate the analytical results.