Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control

This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through the dynamic feedback control method. Firstly, a necessary and sufficient condition is proposed, by which the existence of the partial anti-synchronization problem is proved. Then, an algorithm is given and used to obtain all solutions of this problem. Moreover, the partial anti-synchronization problem of the fractional-order chaotic systems is realized through the dynamic feedback control method. It is noted that the designed controllers are single-input controllers. Finally, two illustrative examples with numerical simulations are used to verify the correctness and effectiveness of the proposed results.

Automated summary

This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through dynamic feedback control method. Necessary and sufficient conditions are proposed and an algorithm is given to obtain all solutions. The designed single-input controllers are used to realize the partial anti-synchronization problem, which is verified through numerical simulations in two illustrative examples.