On Impulsive Control and Synchronization of Qi System

This thesis is concerned with a new chaotic system—Qi system.Based on the stability theory of impulsive differential equations and impulsive control technique,a sufficient condition for the system that can be controlled to the equilibrium point is obtained.At the same time,the stability theory of impulsive synchronization of two Qi systems is presented.Finally,an illustrative example is provided to show the effectiveness of the proposed method.