Feedback and adaptive control and synchronization of a set of chaotic and hyperchaotic systems

This paper presents several novel approaches to control and synchronize a set of chaotic and hyperchaotic systems. It shows that the feedback gain coefficient of the proposed enhancing control approach is smaller compared with that of the general feedback control method, thus the complexity and cost is reduced. This paper also shows that the novel adaptive control and synchronization approaches is easy to achieve. The classical Lorenz chaotic system and hyperchaotic Chen system are used as the examples to illustrate the approaches.