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

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      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
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