Control problems of Chen-Lee system by adaptive control method

This paper investigates the control problems of Chen-Lee system. Based on control theory of nonlinear systems, the adaptive controllers were proposed to achieve stabilization, synchronization, coexistence of synchronization and anti-synchronization, and projective synchronization of such system. It should be pointed out that the obtained controllers are not only simpler than the existing ones, but also are physical. It is also noted that the obtained methods can be extended to a general chaotic system. Numerical simulations are used to verify the validity and effectiveness of the obtained results.