Journal of Guangxi Normal University(Natural Science Edition) ›› 2024, Vol. 42 ›› Issue (1): 139-146.doi: 10.16088/j.issn.1001-6600.2023041202

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Practical-Component Consensus of Multi-agent Systems

LONG Ziting1,2, MA Zhongjun1,3*, LI Kezan1,2   

  1. 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    2. Center for Applied Mathematics of Guangxi (Guilin University of Electronic Technology), Guilin Guangxi 541004, China;
    3. Guangxi Key Laboratory of Cryptography and Information Security (Guilin University of Electronic Technology), Guilin Guangxi 541004, China
  • Received:2023-04-12 Revised:2023-05-18 Online:2024-01-25 Published:2024-01-19

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Abstract: Practical-component consensus refers to the fact that the error of some components of all state variables in a multi-agent system always fluctuate within a bounded interval. In this paper, the practical-component consensus problem of a first-order nonlinear leader-follower multi-agent system is explored based on a directed network topology. Firstly, a segmented pinning control protocol is constructed for the system. Then, the original error system is transformed into a new error system by using the method of permutation matrix, so that the practical-component consensus problem of the original system is transformed into a strong practical stability problem with zero solutions in the new error system, and the sufficient conditions for the practical-component consensus of the system is derived with the knowledge of matrix theory and stability theory. Finally, the numerical simulation verifies the correctness of the theoretical results.

Key words: multi-agent systems, practical consensus, partial component consensus, leader-following

CLC Number:  O231
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