Adaptive synchronization of unified chaotic system with uncertainties and time delay

A synchronization control approach for unified chaotic system with uncertainties and time delay is presented using passive control theory. The stability of the synchronization error system is studied so that the unified chaotic system can be synchronized with uncertainties and channel time delay. Because the chaotic trajectory is limitary and the nonlinear function of the unified chaotic system satisfies Lipschitz condition, the error system transformed by synchronization error system can be globally asymptotically stabilized by state feedback, therefore it implements the synchronization control of unified chaotic system with uncertainties and time delay. Simulation results show that the adaptive passive synchronization scheme is efficient, and the generalized synchronization can also be realized.