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Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations

Author

Listed:
  • Zhen Liu

    (School of Information Science and Engineering, Linyi University, Linyi 276005, China)

  • Yingying Wen

    (School of Information Science and Engineering, Linyi University, Linyi 276005, China)

  • Bin Zhao

    (School of Information Science and Engineering, Linyi University, Linyi 276005, China)

  • Chengdong Yang

    (School of Information Science and Engineering, Linyi University, Linyi 276005, China)

Abstract

This paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. Firstly, a distributed adaptive control protocol is developed for leaderless fractional-order SVPIDE-based MASs, aiming to achieve consensus among all agents without a leader. Then, for leader-following fractional-order SVPIDE-based MASs, the protocol is extended to account for communication between the leader and follower agents, ensuring that the followers reach consensus with the leader. Finally, three examples are presented to illustrate the effectiveness of the proposed distributed adaptive control protocols.

Suggested Citation

  • Zhen Liu & Yingying Wen & Bin Zhao & Chengdong Yang, 2024. "Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations," Mathematics, MDPI, vol. 13(1), pages 1-17, December.
    • Handle: RePEc:gam:jmathe:v:13:y:2024:i:1:p:112-:d:1556941
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    References listed on IDEAS

    as
    1. Abbasali Koochakzadeh & Mojtaba Naderi Soorki & Aydin Azizi & Kamran Mohammadsharifi & Mohammadreza Riazat, 2023. "Delay-Dependent Stability Region for the Distributed Coordination of Delayed Fractional-Order Multi-Agent Systems," Mathematics, MDPI, vol. 11(5), pages 1-13, March.
    2. Allan M. C. Bretas & Alexandre Mendes & Martin Jackson & Riley Clement & Claudio Sanhueza & Stephan Chalup, 2023. "A decentralised multi-agent system for rail freight traffic management," Annals of Operations Research, Springer, vol. 320(2), pages 631-661, January.
    3. Lin Hu & Long Jian, 2024. "Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems with Event-Triggered Communications," Mathematics, MDPI, vol. 12(19), pages 1-14, October.
    4. Wang, Fei & Zhang, Chuan & Yang, Yongqing & Li, Ning, 2023. "Observer-based consensus of fractional order parabolic PDEs agents on directed networks via boundary communication," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
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