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Finite-Time Partial Component Consensus for Nonlinear Leader-Following Multi-Agent Systems

Author

Listed:
  • Zhaolei Yan

    (School of Science, Jiangnan University, Wuxi 214122, China)

  • Baibin Yang

    (School of Science, Jiangnan University, Wuxi 214122, China)

  • Manman Luo

    (School of Science, Jiangnan University, Wuxi 214122, China)

  • Manfeng Hu

    (School of Science, Jiangnan University, Wuxi 214122, China)

Abstract

The problem of finite-time partial component consensus (FTPCC) for first-order nonlinear multi-agent systems (MASs) is investigated in this paper for the first time. By incorporating the permutation matrix approach, we derive a novel error system for identical components, which facilitates stability analysis. Leveraging partial variable stability theory and related foundational knowledge, we devise two adaptable protocols. These protocols are tailored to achieve FTPCC in nonlinear MASs, one for systems without disturbances and another for those with bounded disturbances. To validate our findings, numerical examples are provided, demonstrating the effectiveness of the proposed results.

Suggested Citation

  • Zhaolei Yan & Baibin Yang & Manman Luo & Manfeng Hu, 2024. "Finite-Time Partial Component Consensus for Nonlinear Leader-Following Multi-Agent Systems," Mathematics, MDPI, vol. 12(22), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3552-:d:1520291
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    References listed on IDEAS

    as
    1. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Zhang, Zhicheng & Ma, Zhongjun & Wang, Yi, 2019. "Partial component consensus of leader-following multi-agent systems via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    3. Zhou, Boling & Yang, Yongqing & Xu, Xianyun, 2019. "The group-delay consensus for second-order multi-agent systems by piecewise adaptive pinning control in part of time interval," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 694-708.
    4. Wenjun Hu & Gang Zhang & Zhongjun Ma & Binbin Wu, 2019. "Partial Component Consensus of Discrete-Time Multiagent Systems," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-5, April.
    Full references (including those not matched with items on IDEAS)

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