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
摘要: 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。
Abstract: 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.
文章引用：张若洵, 刘永利, 巩敬波. 分数阶时滞混沌系统的同步和在保密通信中的应用[J]. 动力系统与控制, 2018, 7(2): 116-123. https://doi.org/10.12677/DSC.2018.72013

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