一类分数阶混沌系统的投影同步

Projective Synchronization of a Class of Fractional-Order Chaotic System

基于Lyapunov稳定性理论和研究了一类分数阶混沌系统的同步控制问题,基于分数阶微积分的相关理论,给出了响应系统的设计方案.研究表明,设计适当的控制器一定条件下,主从系统是函数投影同步的.

Synchronization of a class of fractional-order chaotic system is studied in the paper based on Lyapunovstability theory. It is proved that fractional- order chaotic systems is synchronized using projective synchronizationapproach based on fractional-order caculars. Researches show if we design proper controller and meet with certainconditions,the master-slave systems is projective synchronization. We extend the conclusion to others cases,thenumerical simulation examples of chaotic system verify the effectiveness of the propsed method.