基于线性控制的分数阶统一混沌系统的同步  

Synchronization of fractional-order unified chaotic system via linear control

作　　者：张若洵[1,2,3] 杨世平[1,2] 刘永利[3] 

机构地区：[1]河北师范大学物理科学与信息工程学院,石家庄050016 [2]河北省新型薄膜材料实验室,石家庄050016 [3]邢台学院初等教育学院,邢台054001

出　　处：《物理学报》2010年第3期1549-1553,共5页Acta Physica Sinica

基　　金：河北省自然科学基金(批准号:A2008000136);河北省科技支撑计划项目(批准号:2009SP099)资助的课题~~

摘　　要：研究了分数阶统一混沌系统的同步.基于分数阶稳定性原理,提出了通过线性反馈实现分数阶统一混沌系统的同步方法.所设计的控制器为单一控制变量的线性控制器,且不需要计算反馈系数.通过对分数阶Lorenz混沌系统、Chen混沌系统和Lü混沌系统的数值模拟,证实了所提方法的有效性.Chaos synchronization in fractional-order unified chaotic system is disscussed in this paper. Based on the stability theory of fractional-order system, the control law is presented to achieve chaos synchronization. The advantage of the proposed controllers is that they are linear and have lower dimensions than that of the states. With this technique it is very easy to find the suitable feedback constant. Simulation results for fractional-order Lorenz, Lü and Chen chaotic systems are provided to illustrate the effectiveness of the proposed scheme.

关 键 词：分数阶统一混沌系统 混沌同步 线性控制 

分 类 号：O415.5[理学—理论物理]