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Observer-based reachable set synthesis for multi-agent systems: A sampling-based distributed event-triggered strategy

Author

Listed:
  • Liu, Mingde
  • Zhang, Liang
  • Zhao, Ning
  • Wang, Xinjun
  • Liu, Yongchao

Abstract

This paper investigates the problem of reachable set synthesis for a class of multi-agent systems. Considering the limited resources for communication between agents, a dual-end sampling mechanism is introduced to reduce the communication load. For the sampled signals at the output end, the cubic spline interpolation method is used to construct a fitting function to approximate the dynamic output signals, and a state observer is constructed according to the fitting function to estimate the system state of each agent. At the input side, the sampling distributed event triggering mechanism is used to design an event-based distributed observation control strategy to ensure that the tracking error is bounded. Finally, the results of the simulations substantiate the validity of the conclusions.

Suggested Citation

  • Liu, Mingde & Zhang, Liang & Zhao, Ning & Wang, Xinjun & Liu, Yongchao, 2026. "Observer-based reachable set synthesis for multi-agent systems: A sampling-based distributed event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 510(C).
    • Handle: RePEc:eee:apmaco:v:510:y:2026:i:c:s0096300325004096
    DOI: 10.1016/j.amc.2025.129683
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    References listed on IDEAS

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    1. Zheng, Leyi & Zhou, Yimin, 2025. "Event-triggered distributed consensus control of heterogeneous multi-agent system under communication and actuator faults," Applied Mathematics and Computation, Elsevier, vol. 487(C).
    2. Shen, Yi & Zhao, Jiemei & Yu, Liqi, 2025. "Reachable set estimation of delayed second-order memristive neural networks," Applied Mathematics and Computation, Elsevier, vol. 484(C).
    3. Du, Yingxue & Wang, Yijing & Zuo, Zhiqiang & Zhang, Wentao, 2022. "Event-triggered bipartite consensus for multi-agent systems subject to multiplicative and additive noises," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    4. Xia, Pei-Zhen & Chang, Xiao-Heng, 2025. "Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach," Applied Mathematics and Computation, Elsevier, vol. 498(C).
    5. Chang, Xu-Kang & He, Yong, 2024. "Reachable set estimation of delayed Markovian jump neural networks via variables-augmented-based free-weighting-matrices method," Applied Mathematics and Computation, Elsevier, vol. 478(C).
    6. Shen, Zhihao & Zhang, Liang & Niu, Ben & Zhao, Ning, 2023. "Event-based reachable set synthesis for delayed nonlinear semi-Markov systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    7. Ma, Yajing & Li, Zhanjie & Xie, Xiangpeng & Yue, Dong, 2023. "Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
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