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    • The adaptive synchronization of fractional-order Liu chaotic system with unknown parameters

      NOURIAN ADELEH BALOCHIAN SAEED

      Brief Report Volume 86 Issue 6 June 2016 pp 1401-1407

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/086/06/1401-1407

    • Keywords

       

      Fractional derivative systems; adaptive control; chaotic system.

    • Abstract

       

      In this paper, the chaos control and the synchronization of two fractional-order Liu chaotic systems with unknown parameters are studied. According to the Lyapunov stabilization theory and the adaptive control theorem, the adaptive control rule is obtained for the described error dynamic stabilization. Using the adaptive rule and a proper Lyapunov candidate function, the unknown coefficients of the system are estimated and the stabilization of the synchronizer system is demonstrated. Finally, the numerical simulation illustrates the efficiency of the proposed method in synchronizing two chaotic systems.

    • Author Affiliations

       

      NOURIAN ADELEH1 BALOCHIAN SAEED1

      1. Department of Electrical Engineering, Gonabad Branch, Islamic Azad University, Gonabad/Khorasan-e-Razavi, Iran

    • Dates

       
      Published
      16 June 2016
      Manuscript received
      5 December 2014
      Manuscript revised
      1 May 2015
      Accepted
      7 July 2015
      Early published
      2 April 2016

    • Supplementary Material

       

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