Adaptive Control and Synchronization of a New Uncertain Hyperchaotic Lorenz System Based on Parameter Identification

In this paper, the problems of control and synchronization of a new hyperchaotic Lorenz system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this new uncertain hyperchaotic Lorenz system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results.