Synchronization of fractional chaotic systems based on a simple Lyapunov function
作者: Tianzeng LiYu WangChao Zhao
作者单位: 1Sichuan University of Science and Engineering
2Artificial Intelligence Key Laboratory of Sichuan Province
3Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things
4Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing
刊名: Advances in Difference Equations, 2017, Vol.2017 (1)
来源数据库: Springer Journal
DOI: 10.1186/s13662-017-1320-1
关键词: Lyapunov functionFractional orderSynchronizationChaos
英文摘要: In this paper the synchronization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems. A new synchronization method and a linear feedback controller are given to achieve the synchronization of fractional-order chaotic systems based on a simple Lyapunov candidate function. The proposed synchronization method can be applied to the synchronization of an arbitrary fractional-order chaotic system. This method is universal, simple, and theoretically rigorous. Numerical simulations of three fractional-order chaotic systems to verify the effectiveness and the universality of the proposed method.
原始语种摘要: In this paper the synchronization of fractional-order chaotic systems and a new property of fractional derivatives are studied. Then we propose a new fractional-order extension of Lyapunov direct method to control the fractional-order chaotic systems. A new synchronization method and a linear feedback controller are given to achieve the synchronization of fractional-order chaotic systems based on a simple Lyapunov candidate function. The proposed synchronization method can be applied to the synchronization of an arbitrary fractional-order chaotic system. This method is universal, simple, and theoretically rigorous. Numerical simulations of three fractional-order chaotic systems to verify the effectiveness and the universality of the proposed method.
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:0.76 (2012)

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关键词翻译
关键词翻译
  • fractional 分级的
  • chaotic 混乱的
  • simple 单纯的
  • function 函数
  • propose 提议
  • arbitrary 任意的
  • verify 证实
  • systems 系统科学与软件
  • achieve 达到
  • effectiveness 有效性