Volume 46 Issue 11
Nov.  2025
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ZHOU Liqing, ZHAO Huarong, PENG Li. Fixed-Time Bipartite Consensus of Multi-Agent Systems With the Dynamic Event-Triggered Scheme[J]. Applied Mathematics and Mechanics, 2025, 46(11): 1440-1451. doi: 10.21656/1000-0887.450269
Citation: ZHOU Liqing, ZHAO Huarong, PENG Li. Fixed-Time Bipartite Consensus of Multi-Agent Systems With the Dynamic Event-Triggered Scheme[J]. Applied Mathematics and Mechanics, 2025, 46(11): 1440-1451. doi: 10.21656/1000-0887.450269

Fixed-Time Bipartite Consensus of Multi-Agent Systems With the Dynamic Event-Triggered Scheme

doi: 10.21656/1000-0887.450269
Funds:

The National Science Foundation of China(62403216;61873112)

  • Received Date: 2024-10-08
  • Rev Recd Date: 2025-02-07
  • Available Online: 2025-12-05
  • To address the issue of the communication constraints in multi-agent systems, a fixed-time dynamic event-triggered bipartite consensus algorithm based on sampled data was studied. First, a periodic sampling mechanism was designed to reduce the communication frequency of the system. Then, a dynamic event-triggered control algorithm based on auxiliary variables was developed for the sampled data to further decrease the triggering frequency of the system. Next, to enhance the convergence speed of the dynamic event-triggered control algorithm, a dynamic event-triggered fixed-time bipartite consensus control algorithm was investigated. Finally, with the Lyapunov stability theory, the algebraic graph theory, and the relevant inequalities, a rigorous theoretical proof of the stability of the proposed control protocol was provided, and the effectiveness of the algorithm was verified through simulation experiments.
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