Adaptive Synchronization of Generalized Lorenz Systems with Unknown Parameters

Abstract

The generalized Lorenz system contains a class of three-dimensional autonomous quadratic chaotic systems, which include Lorenz system, Chen system, Lü system and unified chaotic system. In this paper, an adaptive controller for the synchronization of two generalized Lorenz systems is designed by utilizing Lyapunov method, in that the parameters of the drive system are unknown and different from those of the response system. Simulation results also verify the effectiveness of the proposed control scheme.