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

Zhaolei Yan, Baibin Yang, Manman Luo and Manfeng Hu ()
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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

Mathematics, 2024, vol. 12, issue 22, 1-16

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.

Keywords: finite-time partial component consensus (FTPCC); multi-agent systems (MASs); leader-following consensus; directed topology; flexible protocol (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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