Finite-time stabilization of a class of chaotic systems via adaptive control method

This paper investigates the stabilization of three dimensional chaotic systems in a finite time by extending our previous method for chaos stabilization. Based on the finite-time stability theory, a control law is proposed to realize finite-time stabilization of three dimensional chaotic systems. In comparison with the previous methods, the controller obtained by our method is simpler than those. Moreover, the method obtained in this paper is suitable for a class of three dimensional chaotic systems. The efficiency of the control scheme is revealed by some illustrative simulations.

► In this paper, we investigate the finite-time stabilization problem from the view of control theory.
► Based on the finite-time stability theory, we obtain an adaptive controller which can stabilize a class of three dimensional chaotic systems.
► This method can be generalized to stabilize a lot of hyper-chaotic systems in a finite time.
► This method can be generalized to synchronize a lot of chaotic and hyper-chaotic systems in a finite time.