不同阶数不同维数的分数阶混沌系统的时滞混合投影同步（英文）

Hybrid Projective Synchronization of Different Dimensional Fractional Order Chaotic Systems with Time Delay and Different Orders

本文主要讨论了不同阶数不同维数的分数阶混沌系统的时滞混合投影同步.基于分数阶微积分的基本性质,将两个不同阶数的分数阶混沌系统转换为两个同阶的分数阶混沌系统.然后,利用分数阶线性系统的稳定性理论,并构造一个非线性控制器,得到了同步的一般方法.数值模拟证实了设计方法的有效性.

In this paper, the hybrid projective synchronization of different dimensional fractional order chaotic systems with time delay and different orders is discussed. Based on the basic properties of fractional calculus, two different order fractional-order chaotic systems are transformed into the same order ones. Then, by using the stability theory of fractional order linear systems and constructing a nonlinear controller for the obtained systems with same order, a general scheme for synchronization of the considered systems is proposed. Some numerical simulations demonstrate the effectiveness of the proposed method.