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    • Adaptive control and synchronization of a fractional-order chaotic system

      Chunlai Li Yaonan Tong

      Volume 80 Issue 4 April 2013 pp 583-592

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/04/0583-0592

    • Keywords

       

      Fractional order; adaptive scheme; control; synchronization.

    • Abstract

       

      In this paper, the chaotic dynamics of a three-dimensional fractional-order chaotic system is investigated. The lowest order for exhibiting chaos in the fractional-order system is obtained. Adaptive schemes are proposed for control and synchronization of the fractional-order chaotic system based on the stability theory of fractional-order dynamic systems. The presented schemes, which contain only a single-state variable, are simple and flexible. Numerical simulations are used to demonstrate the feasibility of the presented methods.

    • Author Affiliations

       

      Chunlai Li1 Yaonan Tong2

      1. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
      2. School of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China

    • Dates

       
      Published
      April 2013
      Manuscript received
      9 April 2012
      Manuscript revised
      24 September 2012
      Accepted
      8 October 2012

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      Posted on July 25, 2019

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