分数阶时滞混沌系统的同步和在保密通信中的应用

Synchronization of Fractional-Order Time-Delay Chaotic Systems and Its Application in Secure Communication

本文研究了分数阶时滞混沌系统的同步。通过分数阶线性延迟系统的稳定性定理,提出了分数阶时滞系统全局渐近稳定的充分条件。结合新理论和混沌系统的特征,设计了一种线性控制器,只需要传递一个状态量来实现分数阶时滞Chen混沌系统的同步,并设计了一种安全性更好的分数阶混沌保密通信方案。

This paper studies the synchronization of fractional-order delay chaotic systems. By the stability theorem of fractional-order linear delay systems, a sufficient condition for the global asymptotic stability of fractional time-delay systems is proposed. Combined with the new theory and the characteristics of the chaotic system, a linear controller is designed. Only one state variable needs to be transmitted to achieve the synchronization of the fractional-delay Chen chaotic system, and a secure communication is designed.