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Robust Synchronization of Fractional-Order Chaotic System Subject to Disturbances

Author

Listed:
  • Dongya Li

    (Applied Technology College of Soochow University, Suzhou 215325, China)

  • Xiaoping Zhang

    (Applied Technology College of Soochow University, Suzhou 215325, China)

  • Shuang Wang

    (Applied Technology College of Soochow University, Suzhou 215325, China)

  • Fengxiang You

    (School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215021, China)

Abstract

This paper studies the synchronization problem for a class of chaotic systems subject to disturbances. The nonlinear functions contained in the master and slave systems are assumed to be incremental quadratic constraints. Under some assumptions, a feedback law is designed so that the error system behaves like the H ∞ performance. Meanwhile, the detailed algorithm for computing the incremental multiplier matrix is also given. Finally, one numerical example and one practical example are simulated to show the effectiveness of the designed method.

Suggested Citation

  • Dongya Li & Xiaoping Zhang & Shuang Wang & Fengxiang You, 2022. "Robust Synchronization of Fractional-Order Chaotic System Subject to Disturbances," Mathematics, MDPI, vol. 10(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4639-:d:996682
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    References listed on IDEAS

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    1. C. Udrişte & M. Ferrara & D. Zugrăvescu & F. Munteanu, 2012. "Controllability of a Nonholonomic Macroeconomic System," Journal of Optimization Theory and Applications, Springer, vol. 154(3), pages 1036-1054, September.
    2. Agrawal, S.K. & Srivastava, M. & Das, S., 2012. "Synchronization of fractional order chaotic systems using active control method," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 737-752.
    3. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2009. "A note on the stability of fractional order systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1566-1576.
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