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    • Adaptive projective synchronization between different chaotic systems with parametric uncertainties and external disturbances

      Mayank Srivastava Saurabh K Agrawal Subir Das

      Volume 81 Issue 3 September 2013 pp 417-437

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/03/0417-0437

    • Keywords

       

      Chaos; uncertainty; external disturbance; Genesio–Tesi system; Li system; Lorenz system; projective synchronization; adaptive control.

    • Abstract

       

      The article deals with adaptive projective synchronization between two different chaotic systems with parametric uncertainties and external disturbances. Based on Lyapunov stability theory, the projective synchronization between a pair of different chaotic systems with fully unknown parameters are derived. An adaptive control law and a parameter update rule for uncertain parameters are designed such that the chaotic response system controls the chaotic drive system. Numerical simulation results are performed to explain the effectiveness and feasibility of the techniques.

    • Author Affiliations

       

      Mayank Srivastava1 Saurabh K Agrawal1 Subir Das1

      1. Department of Applied Mathematics, Indian Institute of Technology (BHU), Varanasi 221 005, India

    • Dates

       
      Published
      September 2013
      Manuscript received
      20 November 2012
      Manuscript revised
      16 May 2013
      Accepted
      11 June 2013

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