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Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system

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  • Yu Huang
  • Dongfeng Wang
  • Jinying Zhang
  • Feng Guo

Abstract

Control and synchronization of fractional-order chaotic systems have attracted wide attention due to their numerous potential applications. To get suitable control method and parameters for fractional-order chaotic systems, the stability analysis of time-varying fractional-order systems should be discussed in the first place. Therefore, this paper analyzes the stability of the time-varying fractional-order systems and presents a stability theorem for the system with the order 0

Suggested Citation

  • Yu Huang & Dongfeng Wang & Jinying Zhang & Feng Guo, 2018. "Controlling and synchronizing a fractional-order chaotic system using stability theory of a time-varying fractional-order system," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-11, March.
    • Handle: RePEc:plo:pone00:0194112
    DOI: 10.1371/journal.pone.0194112
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    References listed on IDEAS

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    1. Jajarmi, Amin & Hajipour, Mojtaba & Baleanu, Dumitru, 2017. "New aspects of the adaptive synchronization and hyperchaos suppression of a financial model," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 285-296.
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