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A new sampling interval fragmentation approach to synchronization of chaotic Lur’e systems

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  • Yang, Huilan
  • Wang, Xin
  • Shu, Lan
  • Zhao, Guozhu
  • Zhong, Shouming

Abstract

This paper investigates the issue of sampled-data synchronization for a class of chaotic Lur’e systems (CLSs), where a novel sampling interval fragmentation approach (SIFA) is proposed. To this end, first, by partitioning sampling interval into several nonuniform segments based on a geometric series and taking advantage of the convex combination technique, a newly discontinuous Lyapunov–Krasovskii functional (LKF) is developed for the first time to analyze the synchronization problem of such systems, which significantly uses more information on actual sampling behavior of the system. Meanwhile, an uniform sampling interval fragmentation approach (USIFA) is also taken into account. Then, some relaxed sampled-data synchronization criteria of concerned systems are formulated in framework of matrix inequalities with a larger sampling period. Two numerical simulations are provided to demonstrate the superiority and effectiveness of the derived results.

Suggested Citation

  • Yang, Huilan & Wang, Xin & Shu, Lan & Zhao, Guozhu & Zhong, Shouming, 2019. "A new sampling interval fragmentation approach to synchronization of chaotic Lur’e systems," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 12-24.
    • Handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:12-24
    DOI: 10.1016/j.amc.2018.11.009
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    References listed on IDEAS

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    1. Rakkiyappan, R. & Velmurugan, G. & Nicholas George, J. & Selvamani, R., 2017. "Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 217-231.
    2. Yang, Huilan & Wang, Xin & Zhong, Shouming & Shu, Lan, 2018. "Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 75-85.
    3. Zeng, Deqiang & Zhang, Ruimei & Liu, Yajuan & Zhong, Shouming, 2017. "Sampled-data synchronization of chaotic Lur’e systems via input-delay-dependent-free-matrix zero equality approach," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 34-46.
    4. Zhang, Ruimei & Zeng, Deqiang & Zhong, Shouming & Yu, Yongbin, 2017. "Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 57-74.
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    Cited by:

    1. Yang, Te & Wang, Zhen & Xia, Jianwei & Shen, Hao, 2023. "Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 44-57.

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