Copyright © 2011 Tao Wang et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Adaptive feedback controllers based on Lyapunov's direct method for chaos control
and hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed.
Especially, the controller can be simplified ulteriorly into a single scalar
one to achieve complete synchronization. The HPS between two nearly identical
chaotic systems with unknown parameters is also studied, and adaptive parameter
update laws are developed. Numerical simulations are demonstrated to verify the
effectiveness of the control strategies.