Journal of Guangxi Normal University(Natural Science Edition) ›› 2025, Vol. 43 ›› Issue (4): 140-146.doi: 10.16088/j.issn.1001-6600.2024100101

• Mathematics and Statistics • Previous Articles     Next Articles

Set Consensus of Leader-Following Multi-agent System

SU Zhongwei, GAN Xiaoliang*, MA Zhongjun   

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China
  • Received:2024-10-01 Revised:2024-11-07 Online:2025-07-05 Published:2025-07-14

Abstract: In view of the possible collision between the leader agent and the follower agents, combined with the characteristics of practical consensus and identical consensus, the set consensus of the leader-following multi-agent system is proposed and studied in this paper. Firstly, a bounded set without zero is selected and the concept of set consensus is given. Then, by designing an appropriate segmented pinning control protocol and establishing an error system, the set consensus problem of the multi-agent system is transformed into a set stability problem of the error system, and a sufficient condition for the multi-agent system to achieve the set consensus under the weighted directed network topology is obtained. Finally, the numerical simulation verifies the correctness of the theoretical results.

Key words: multi-agent system, set consensus, stability of set, leader-following

CLC Number:  O231
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