Adaptive Feedback Control for the Projective Synchronization of the Lü Dynamical System and Its Application to Secure Communication

E. M. Elabbasy；M. M. El-Dessoky

Chinese Journal of Physics

48卷6期（2010 / 12 / 01）

863 - 872

英文

In this paper a simple adaptive linear feedback control method, based on the invariance principle of differential equations, is proposed for controlling the scaling factor to a desired value. We mathematically prove the synchronizability of the proposed simple adaptive modified projective synchronization control method. Also, we propose a communication scheme based on the adaptive modified projective synchronization of the new chaotic system. Based on the Lyapunov stability theory, an adaptive control law is proposed to make the states of two Lü attractors asymptotically synchronized. Numerical simulations are given to validate the proposed synchronization methods.