超混沌Lorenz系统的脉冲控制与修正投影同步

Impulsive Control and Modified Projective Synchronization of the Hyperchaotic Lorenz System

考虑超混沌Lorenz系统的脉冲控制与修正投影同步，基于脉冲控制系统的稳定性理论，给出了脉冲控制与修正投影同步的充分条件，并通过数值仿真验证了所给充分条件的有效性．由定理4易知当同步因子α1，α2，α3，α4满足α1^2=1，α2=α1α2=α4时所给同步方法无需控制器，因此方法可以看做是脉冲完全同步的推广．

In this paper we investigate the impulsive control and modified projective synchronization of the hyperchaotic Lorenz system. We give some sufficient conditions for the stabilization and modified projective synchronization of this system via impulsive control. Sim- ulation results are also provided to show the effectiveness of the proposed method. It is easy to see by Theorem 4 that if the scaling factors α1,α2,α3,α4 satisfied α1^2=1,α2=α1α2=α4, then systems （4） and （11） will achieve modified projective synchronization without controllers, which implies that the proposed synchronized method can be regarded as the generalization of the complete synchronization via impulsive control.