Journal of Guangxi Normal University(Natural Science Edition) ›› 2026, Vol. 44 ›› Issue (3): 139-147.doi: 10.16088/j.issn.1001-6600.2025080402

• Mathematics • Previous Articles     Next Articles

Bipartite-Partial Component Consensus of Multi-agent Systems via Event-Triggered Control

WU Jianjun1,2, GAN Xiaoliang1,2*, MA Zhongjun3   

  1. 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    2. Guangxi Colleges and Universities Key Laboratory of Data Analysts and Computation (Guilin University of Electronic Technology), Guilin Guangxi 541004, China;
    3. Center for Applied Mathematics of Guangxi (GUET), Guilin Guangxi 541004, China
  • Received:2025-08-04 Revised:2025-09-14 Online:2026-05-05 Published:2026-05-13

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Abstract: Bipartite-partial component consensus refers to a group dynamic behavior in a multi-agent system where some components of the state variables of some agents tend to be consistent over time, while the corresponding components of the state variables of the remaining agents tend to have opposite values over time. This paper for the first time explores the bipartite-partial component consensus problem for nonlinear leader-following multi-agent systems in directed signed networks via event-triggered control. By designing a novel event-triggered control protocol and an event-triggering function that dynamically adjusts according to the system state, the communication frequency among agents and the update frequency of controllers can be significantly reduced while guaranteeing desired system performance. Then, the sufficient conditions to achieve bipartite-partial component consensus are derived for the multi-agent systems, and it is proved that the multi-agent systems can effectively avoid the Zeno phenomenon under the designed event-triggered control protocol. Finally, a specific simulation example is used to verify the reliability of the article’s conclusion and the effectiveness of saving communication resources.

Key words: multi-agent system, event-triggered, bipartite-partial component consensus, signed network, leader-following

CLC Number:  O231
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