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Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy

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  • Li, Xinna
  • Wu, Huaiqin
  • Cao, Jinde

Abstract

This paper discusses the prescribed-time synchronization (PTs) issue in networks of piecewise smooth (PWS) systems. Firstly, two new lemmas with respect to the prescribed-time stability are developed for nonlinear PWS systems, where the stable time can be preset arbitrarily, and is irrelevant to any control parameters and initial values. Secondly, a feedback controller and a novel event-triggered controller are designed to realize PTs objective, respectively. Different from the existing linear dynamic event-triggered condition, the adjustable internal dynamic variable is governed by a nonlinear system, which is related to the prescribed time. Thirdly, by adopting set-valued analysis technique and generalized Lyapunov functional approach, the conditions of PTs are achieved in terms of linear matrix inequalities (LMIs). Finally, two application examples to chaotic Sprott circuit are provided to certificate the correctness of the obtained results and the effectiveness of the designed control schemes.

Suggested Citation

  • Li, Xinna & Wu, Huaiqin & Cao, Jinde, 2023. "Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 647-668.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:647-668
    DOI: 10.1016/j.matcom.2022.07.010
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    3. Feng, Liang & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    4. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    5. Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
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    Cited by:

    1. Gao, Zifan & Zhang, Dawei & Zhu, Shuqian, 2023. "Hybrid event-triggered synchronization control of delayed chaotic neural networks against communication delay and random data loss," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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