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Projective synchronization of chaotic time-delayed systems via sliding mode controller

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  • Vasegh, Nastaran
  • Khellat, F.

Abstract

In this paper a new method for projective synchronization of hyperchaotic models with different parameters based on sliding mode is developed. By using Lyapunov stability theory the stability of error dynamics is guaranteed. The synchronizing method is then compared from various viewpoints. Moreover, effect of the differences in parameters values is also included in our discussion. Furthermore, message encoding is considered based on synchronization. Also, numerical simulations are given to show the effectiveness of the method.

Suggested Citation

  • Vasegh, Nastaran & Khellat, F., 2009. "Projective synchronization of chaotic time-delayed systems via sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1054-1061.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1054-1061
    DOI: 10.1016/j.chaos.2009.02.037
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    References listed on IDEAS

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    1. Vasegh, Nastaran & Majd, Vahid Johari, 2009. "Fuzzy model-based adaptive synchronization of time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1484-1492.
    2. Chee, Chin Yi & Xu, Daolin, 2005. "Secure digital communication using controlled projective synchronisation of chaos," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1063-1070.
    3. Feng, Cun-Fang & Zhang, Yan & Sun, Jin-Tu & Qi, Wei & Wang, Ying-Hai, 2008. "Generalized projective synchronization in time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 743-747.
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    Cited by:

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    2. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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