We propose novel controllers for control and synchronization of chaotic and hyperchaotic Lorenz system via extended adaptive control method. Adaptive control laws were derived to make the state of two identical chaotic and hyperchaotic Lorenz systems with unknown parameters asymptotically stable. Based on the method, the designed weighted controllers are capable of stabilizing as well as synchronizing Lorenz system. Finally, numerical simulations were presented to demonstrate the effectiveness of the proposed scheme.

chaos control, chaos synchronization.