Parameters identification and adaptive projective synchronization of chaotic systems with unknown parameters

Projective synchronization, characterized by a scaling factor that two coupled systems synchronize proportionally, is usually observable in a class of nonlinear dynamical systems with partial -1 i nearity. Based on active control idea and Lyapunov stabilization theory, nonlinear controller for a complete nonlinear chaotic system is designed to achieve a full-state projective synchronization. When parameters are unknown, an adaptive controller with parameters identification for the complete nonlinear chaotic is also proposed. Simulation results verify the effectiveness of the proposed scheme.