Hybrid Projective Dislocated Synchronization of Liu Chaotic System based on Parameters Identification

Abstract

This letter discusses hybrid projective dislocated synchronization of Liu chaotic system with five uncertain parameters. Based on adaptive technique, the hybrid projective dislocated synchronization of Liu chaotic system is achieved by designing a novel nonlinear controller. Furthermore, the parameters identification is realized simultaneously. A sufficient condition is given and proved theoretically by Lyapunov stability theory and LaSalle’s invariance principle. Finally, the numerical simulations are provided to show the effectiveness and feasibility of the proposed method.