Control problems of chaotic systems based on triangle system form

It is the first time to investigate the control problems of chaotic systems based on triangle system form. Firstly, a chaotic system can be transferred into triangle system by an appropriate coordinate transformation. Secondly, the control problems of such system: stabilization, synchronization, anti-synchronization, are studied, and the corresponding controllers are designed by the back-stepping method. Finally, numerical simulation results verify the correctness and effectiveness of the obtained results.