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Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control

Author

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  • Duan, Wenyong
  • Li, Yan
  • Sun, Yi
  • Chen, Jian
  • Yang, Xiaodong

Abstract

In this paper, the synchronization of master–slave Lur’e systems with time-delayed feedback control is further studied. To begin with, an augmented N-dependent Lyapunov–Krasovskii functional (LKF) is designed, where some augmented vectors are chosen to complement some coupling information between the nonlinear functions and other system state variables. Next, a new delay-dependent and its derivative-dependent synchronization criterion is proposed via the modified LKF application. In addition, in order to further demonstrate the advantages of the new LKF, a corollary is also given under a simplistic LKF. Finally, some common numerical examples are presented to show the effectiveness of the proposed approach.

Suggested Citation

  • Duan, Wenyong & Li, Yan & Sun, Yi & Chen, Jian & Yang, Xiaodong, 2020. "Enhanced master–slave synchronization criteria for chaotic Lur’e systems based on time-delayed feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 276-294.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:276-294
    DOI: 10.1016/j.matcom.2020.04.010
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    References listed on IDEAS

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    1. 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.
    2. Wang, Zengyun & Liu, Xinzhi, 2019. "Exponential stability of impulsive complex-valued neural networks with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 156(C), pages 143-157.
    3. 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.
    4. Chao Yang & Lihong Huang & Fangmin Li, 2018. "Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks," Complexity, Hindawi, vol. 2018, pages 1-10, October.
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    Cited by:

    1. Visakamoorthi, B. & Muthukumar, P., 2022. "Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 375-387.
    2. Peng, Shuo & Wang, Qingzhi & Fu, Baozeng, 2022. "Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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