perturbed chaotic systems

This paper deals with the finite time stability and control for a class of perturbed chaotic systems. the lyapunov direct method is developed to provide the basis for the stability proof of the system considered. the sliding mode control method is applied for robust control of chaotic systems. furthermore, the disturbances phenomenon is evaluated. and the finite timestability of the systems under control law is proved based on the proposed stability criterion. finally, numerical simulations are proposed and the efficiency of the controller is verified.