PM  >> Vol. 7 No. 3 (May 2017)

    分数阶混沌系统有限时间稳定性分析及同步控制
    Analysis of Finite-Time Stability of Fractional-Order Chaotic System and Its Synchronization Control

  • 全文下载: PDF(1093KB) HTML   XML   PP.168-175   DOI: 10.12677/PM.2017.73022  
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作者:  

刘丹丹,高彩霞:内蒙古大学数学科学学院, 内蒙古 呼和浩特

关键词:
分数阶混沌系统有限时间稳定同步控制Fractional-Order Chaotic System Finite-Time Stability Synchronization Control

摘要:

本文研究了分数阶混沌系统有限时间稳定性及其同步控制,并基于Lyapunov分数阶稳定性理论提出了针对一类非线性分数阶混沌系统有限时间稳定的判定方法,与现有的结果相比其更具有一般性;并应用该方法设计了同步控制器,在满足系统所有变量有界的情况下实现了驱动系统和响应系统的异结构有限时间同步。数值仿真结果进一步验证了该方法的有效性。

In this paper, the finite time stability and synchronization control of fractional order chaotic sys-tems are studied; based on the Lyapunov fractional stability theory, the determination method of finite time stability for a class of nonlinear fractional chaotic systems is proposed, and it’s more generic than the existing results. And the synchronous controller is designed by the method; in the case of all the variables are met in the system, the different structure of the driver system and the response system are synchronized. Numerical simulation results demonstrate the effectiveness of the proposed method.

文章引用:
刘丹丹, 高彩霞. 分数阶混沌系统有限时间稳定性分析及同步控制[J]. 理论数学, 2017, 7(3): 168-175. https://doi.org/10.12677/PM.2017.73022

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