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Sampled-data exponential synchronization of stochastic chaotic Lur’e delayed systems

Author

Listed:
  • Yang, Te
  • Wang, Zhen
  • Xia, Jianwei
  • Shen, Hao

Abstract

This article is dedicated to research the sampled-data exponential synchronization for a class of stochastic chaotic Lur’e delayed system. Unlike the Lur’e systems studied in most articles which are deterministic, taking full account of the impact of stochastic factors on the system, a type of Itô-type stochastic chaotic Lur’e delayed system is taken as our research object. Firstly, two lemmas are provided to estimate the expectation of the solution of stochastic delayed chaotic Lur’e system and stochastic chaotic Lur’e system, respectively. Secondly, by constructing novel Lyapunov functional, an exponential synchronization criterion is proposed and sampled-data controller is designed for stochastic chaotic Lur’e delayed system and stochastic chaotic Lur’e system. Finally, the effectiveness is verified by a widely used chaotic circuit model and a neural network model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:44-57
    DOI: 10.1016/j.matcom.2022.06.010
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    References listed on IDEAS

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    1. Kumar, S. Vimal & Anthoni, S. Marshal & Raja, R., 2019. "Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 217-226.
    2. Shi, Kaibo & Liu, Xinzhi & Zhu, Hong & Zhong, Shouming & Zeng, Yong & Yin, Chun, 2016. "Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 137-154.
    3. Saravanakumar, Ramasamy & Datta, Rupak & Cao, Yang, 2022. "New insights on fuzzy sampled-data stabilization of delayed nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    4. Zhang, Hongmei & Cao, Jinde & Xiong, Lianglin, 2019. "Novel synchronization conditions for time-varying delayed Lur’e system with parametric uncertainty," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 224-236.
    5. 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.
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    Cited by:

    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2024. "Improved stability and stabilization criteria of sampled-data control systems based on an enhanced looped-functional," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 69-81.
    2. Wei Wang & Jinming Liang & Mihan Liu & Liming Ding & Hongbing Zeng, 2024. "Novel Robust Stability Criteria for Lur’e Systems with Time-Varying Delay," Mathematics, MDPI, vol. 12(4), pages 1-12, February.

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