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Finite-time synchronization of hyperchaotic systems based on feedback passivation

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  • Sangpet, Teerawat
  • Kuntanapreeda, Suwat

Abstract

This paper proposes a scheme to realize finite-time synchronization of hyperchaotic systems using a feedback passivation technique. Although the technique is widely known, its utilization for finite-time control problems is still considered to be new since finite-time passivity has been just recently introduced. The proposed scheme consists of few design steps. First, a feedback is designed such that it yields finite-time stability for the zero-dynamics of the synchronization errors. Then, the synchronization errors is transformed into a finite-time passive system by an additional feedback. Consequently, the finite-time convergence of the synchronization errors is obtained. The hyperchaotic Lü system and a 5D Lorenz-like system are used as examples to demonstrate the effectiveness of the scheme.

Suggested Citation

  • Sangpet, Teerawat & Kuntanapreeda, Suwat, 2020. "Finite-time synchronization of hyperchaotic systems based on feedback passivation," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077920300047
    DOI: 10.1016/j.chaos.2020.109605
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    References listed on IDEAS

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    6. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2019. "Difference synchronization among three chaotic systems with exponential term and its chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 36-51.
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    Cited by:

    1. YuYan Bian & WenXin Yu, 2021. "A secure communication method based on 6-D hyperchaos and circuit implementation," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 77(4), pages 731-751, August.
    2. Chen, Yun & Xu, Yanyi & Lin, Qian & Zhang, Xiyong, 2020. "Model and criteria on the global finite-time synchronization of the chaotic gyrostat systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 515-533.
    3. Chu, Xiaoyan & Xu, Liguang & Hu, Hongxiao, 2020. "Exponential quasi-synchronization of conformable fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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