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Adaptive fixed-time control and synchronization for hyperchaotic Lü systems

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  • Wang, Huanqing
  • Ai, Yingdong

Abstract

In this paper, the problems of fixed-time control and synchronization control for a class of hyperchaotic Lü systems with uncertain parameters are investigated. On the basis of the adaptive backstepping control method and the fixed-time stability theory, two improved adaptive fixed-time control schemes are proposed, which can suppress the hyperchaotic phenomenon and achieve the synchronize for two identical hyperchaotic Lü systems, respectively. The theoretical results are supported by simulation results.

Suggested Citation

  • Wang, Huanqing & Ai, Yingdong, 2022. "Adaptive fixed-time control and synchronization for hyperchaotic Lü systems," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    • Handle: RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004623
    DOI: 10.1016/j.amc.2022.127388
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    References listed on IDEAS

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    1. Zhou, Xiaobing & Wu, Yue & Li, Yi & Xue, Hongquan, 2009. "Adaptive control and synchronization of a new modified hyperchaotic Lü system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2477-2483.
    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. Wang, Guangyi & Zhang, Xun & Zheng, Yan & Li, Yuxia, 2006. "A new modified hyperchaotic Lü system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 260-272.
    4. Zhiyao Ma & Yongming Li & Shaocheng Tong, 2017. "Observer-based fuzzy adaptive fault control for a class of MIMO nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1331-1346, April.
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    Cited by:

    1. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.

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