Adaptive Function Projective Synchronization and Parameter Identification for Chaotic Systems

To realize synchronization control and parameter identification of two chaotic systems with unknown parameters, controllers and parameters adaptive rules for two homogenous or heterogenous chaotic systems with unknown parameters and different initial values are designed based on Lyapunov stability principle by employing the adaptive function projective synchronization control strategy.The range of control parameters to achieve synchronization are presented,and the rule of control parameters affecting on performance of synchronizationsystem is analyzed.Taking the latest simplified Lorenz chaotic system with single parameter as an example,the dynamic simulation results on Matlab/Simulink show the correctness of theory analysis and the effectiveness of the parameter identification approach.