Stabilization of a Class of Chaotic Systems by the Control Design of Triangular System

This paper investigates the stabilization problem of a class of chaotic systems in arbitrary dimensions by the control design of triangular system. Firstly, a single input linear feedback control method for the triangular systems is introduced, based on which some new results about stabilization of such chaotic systems are then proposed in three cases. It is noted that all the obtained controllers are single input linear controllers and easier to be designed and implemented in applications. Finally, illustrative examples with numerical simulations are applied to verify the correctness and effectiveness of the obtained results.