In this paper,the modified projective synchronization between two fractional-order chaotic systems with different dimensions is investigated.The added-order scheme and the reduced-order scheme are proposed,respectively.Based on the Laplace transformation and feedback control theory,controllers are designed such that two chaotic systems with different dimensions could be synchronized asymptotically under the presented schemes.Corresponding numerical simulations are given to show the effectiveness of the proposed schemes.
分数阶混沌系统的对偶同步是一个新的同步方法.有关分数阶混沌系统对偶投影同步的研究较少.基于分数阶系统的稳定性理论,通过设计线性控制器研究了分数阶混沌系统的对偶投影同步.给出了一个实现分数阶混沌系统对偶投影同步的一般方法,推广了现有对偶同步的研究结果,通过分数阶Van der Pol系统和分数阶Willis系统的数值仿真证实了该方法的有效性.
