Stabilization of a Class of Chaotic Systems in Arbitrary Dimensions Based on Triangular System Form

This paper investigates the stabilization problem of a class of chaotic systems in arbitrary dimensions based on triangular system form. Firstly, a new adaptive control method for the triangular system is proposed. Secondly, based on the obtained method and an appropriate transformation, the stabilization problem of such chaotic systems is realized, and the corresponding controllers are designed. It is noted that the designed controllers are simpler than the existing ones, thus they are easier to be implemented in applications. Finally, illustrative examples with numerical simulations are provided to verify the validity and effectiveness of the proposed results.