Finite-time Chaos Control and Synchronization of the New Chaotic System with Unknown Parameters

摘要

In this paper, a new chaotic system is discussed. Some basic dynamical properties are studied, and we also deal with the finite-time chaos control and synchronization of the new chaotic system. Based on the finite-time stability theory, the control law are proposed to drive chaos to equilibria within finite time, and the control law and the parameter update law are proposed to realize finite-time synchronization of the new chaotic system under unknown parameters. The controller is simple and robust to noise. Numerical simulations are given to show the effectiveness of the proposed controllers.