Abstract
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.
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