ASURVEY AND COMPARISON ON SYNCHRONIZATION METHODS OF CHAOTIC SYSTEMS

In this paper, several methods forsynchronization of chaotic systems are explained and compared. The idea is based on drive-response systems synchronization. The methods include: active Control, recursive control, adaptive control, and partial linearizationmethod which are implemented and applied to a Lorenz chaotic system. The partial linearization method is used to synchronize a subset of states of the system to synchronize other states as well. Active control and rebound control methods are used when the system parameters are known while adaptive control method is used when some of the parameters of the system are unknown. Inthesemethods,synchronization is based on Lyapunov stability theory. Three methods, namely, adaptive, active and recursive and are implemented on a T system successfully. A newmatrix method has been presented for synchronization based on the theory of Lyapanovkrakfskytheory and linear matrix inequality (LMI).This method has been implemented to a Rösslersystem with delay. Comparingto classical methods used to synchronize chaotic system the matrix method seems the best because of easy design of input, suitable for synchronization of chaotic systems with delay, simple calculations, no need to find aLyapunov function for stability.