用部分变量控制和同步一个超混沌系统

Control and synchronization for a hyper chaotic system using partial variables

根据一个超混沌系统的具体结构和微分方程稳定性理论,利用它的第三个状态变量设计了一个线性反馈控制器,实现了该混沌系统的渐近稳定,以驱动系统的第一个和第三个状态变量作为驱动变量,设计了适当的控制器,实现了两个相同的超混沌系统的同步,数值仿真结果表明这些同步方法是有效的和可行的.

According to the structure of a hyper chaotic system and differential equation stability theory,a linear feedback controller,which makes the hyper chaotic system asymptotically stable,is designed by using the third state variable of the chaotic system.Some appropriate controllers are applied to synchronize two identical hyper chaotic systems by taking the first and the third states variable of the master system as driving variable.Numerical simulations are presented to show the effectiveness and feasibility of these synchronization methods.