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Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters

Author

Listed:
  • Dehui Liu

    (School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China)

  • Tianzeng Li

    (School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China)

  • Yu Wang

    (School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China)

Abstract

The problem of the dual synchronization of two different fractional-order chaotic systems with uncertain parameters is studied. This paper introduces a synchronization method in accordance with Lyapunov stability theory, and the adaptive controllers and adaptive laws are designed to realize the dual synchronization of fractional order chaotic systems. Finally, two numerical examples of unknown different fractional-order chaotic systems are also given to prove the accuracy of the theory in the paper, and the effectiveness and performance of the proposed adaptive dual synchronization strategy are verified by simulation.

Suggested Citation

  • Dehui Liu & Tianzeng Li & Yu Wang, 2022. "Adaptive Dual Synchronization of Fractional-Order Chaotic System with Uncertain Parameters," Mathematics, MDPI, vol. 10(3), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:470-:d:739465
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    References listed on IDEAS

    as
    1. Margarita Rivero & Sergei V. Rogosin & José A. Tenreiro Machado & Juan J. Trujillo, 2013. "Stability of Fractional Order Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-14, May.
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