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Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions

Author

Listed:
  • Israr Ahmad

    (School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia
    Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman)

  • Azizan Bin Saaban

    (School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia)

  • Adyda Binti Ibrahim

    (School of Quantitative Sciences, College of Arts & Sciences, University Utara Malaysia, Sintok 06010, Kedah, Malaysia)

  • Mohammad Shahzad

    (Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman)

Abstract

In this paper, we demonstrate that anti-synchronization (AS) phenomena of chaotic systems with different dimensions can coexist in the finite-time with under the effect of both unknown model uncertainty and external disturbance. Based on the finite-time stability theory and using the master-slave system AS scheme, a generalized approach for the finite-time AS is proposed that guarantee the global stability of the closed-loop for reduced order and increased order AS in the finite time. Numerical simulation results further verify the robustness and effectiveness of the proposed finite-time reduced order and increased order AS schemes.

Suggested Citation

  • Israr Ahmad & Azizan Bin Saaban & Adyda Binti Ibrahim & Mohammad Shahzad, 2015. "Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions," Mathematics, MDPI, vol. 3(4), pages 1-19, December.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:4:p:1222-1240:d:60190
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    References listed on IDEAS

    as
    1. Song, Qiankun & Cao, Jinde, 2007. "Synchronization and anti-synchronization for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 929-939.
    2. Wu, Xiangjun & Zhu, Changjiang & Kan, Haibin, 2015. "An improved secure communication scheme based passive synchronization of hyperchaotic complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 201-214.
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