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Event-triggered synchronization for multi-agent networked systems with time-varying coupling strength and non-differentiable delays

Author

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  • Yi, Chengbo
  • Li, Jialun
  • Cai, Jiayi
  • You, Ze
  • Jing, Chenglin

Abstract

This study explores the synchronization tracking issue within nonlinear multi-agent networked systems featuring non-differentiable delay. Diverging from conventional approaches, the analysis removes the assumption of delay differentiability, allowing for a broader spectrum of delay patterns. Initially, this paper establishes the properties of a pertinent differential inequality in the context of non-differentiable delay, and subsequently, it lays out sufficient conditions ensuring the exponential convergence of the multi-agent networked systems. Then, some novel static and dynamic event-triggered control strategies are devised, integrating variable over time control gain to attain tracking agreement. These strategies encompass various existing control methodologies and offer enhanced adaptability in practical scenarios. Additionally, the proposed approaches effectively mitigate Zeno behavior. The effectiveness of the theoretical findings is corroborated through simulation examples.

Suggested Citation

  • Yi, Chengbo & Li, Jialun & Cai, Jiayi & You, Ze & Jing, Chenglin, 2025. "Event-triggered synchronization for multi-agent networked systems with time-varying coupling strength and non-differentiable delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 236(C), pages 12-28.
    • Handle: RePEc:eee:matcom:v:236:y:2025:i:c:p:12-28
    DOI: 10.1016/j.matcom.2025.03.029
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    References listed on IDEAS

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    1. Xing, Xiaofei & Wu, Huaiqin & Cao, Jinde, 2024. "Finite-time synchronization of impulsive stochastic systems with DoS attacks via dynamic event-triggered control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 573-593.
    2. Puangmalai, Jirapong & Tongkum, Jakkrapong & Rojsiraphisal, Thaned, 2020. "Finite-time stability criteria of linear system with non-differentiable time-varying delay via new integral inequality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 170-186.
    3. Guo, Beibei & Xiao, Yu, 2024. "Synchronization of multi-link and multi-delayed inertial neural networks with Markov jump via aperiodically intermittent adaptive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 435-453.
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