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基于降阶方法的分数阶多涡卷混沌系统的同步控制
引用本文:王春彦,邸金红. 基于降阶方法的分数阶多涡卷混沌系统的同步控制[J]. 山东大学学报(工学版), 2018, 48(5): 91. DOI: 10.6040/j.issn.1672-3961.0.2017.614
作者姓名:王春彦  邸金红
作者单位:郑州航空工业管理学院电子通信工程学院, 河南 郑州 450015
基金项目:河南省科技攻关计划资助项目(172102210080)
摘    要:基于降阶方法研究整数阶分数阶多涡卷混沌系统的同步问题,将三阶分数阶多涡卷混沌系统转化为一阶系统,利用分数阶微积分给出了驱动-响应系统取得混沌同步的充分条件,给出严格的数学证明和推理过程,仿真例子验证了方法的有效性。

关 键 词:分数阶  多涡卷系统  降阶  同步  
收稿时间:2017-12-14

Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method
Chunyan WANG,Jinhong DI. Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method[J]. Journal of Shandong University of Technology, 2018, 48(5): 91. DOI: 10.6040/j.issn.1672-3961.0.2017.614
Authors:Chunyan WANG  Jinhong DI
Affiliation:College of Electronic Communication Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China
Abstract:The problem of synchronization control of intergal-order and fractional-order multi-scroll chaotic systems were studied based on reduced-order method. Third fractional-order multi-scroll system was transferred into a first-order system. The chaotic synchronization sufficient conditions were arrived for the drive-response systems of fractional-order multi-scroll system which acquired synchronization using fractional-order Lyapunov. The strict proof in mathematics was given out, and the simulations examples demonstrated the efficient of the proposed method.
Keywords:fractional-order  multi-scroll systems  reduced-order  synchronization  
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