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Bipartite Consensus for Multiagent Systems via Event-Based Control

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  • Cui-Qin Ma
  • Wei-Guo Sun

Abstract

This paper studies bipartite consensus for first-order multiagent systems. To improve resource utilization, event-based protocols are considered for bipartite consensus. A new type of control gain is designed in the proposed protocols. By appropriate selection of control gains, the convergence rate of the closed-loop system can be adjusted. Firstly, for structural balance case, necessary and sufficient conditions are given on communication relations and consensus gains to achieve bipartite consensus. Secondly, for structural unbalance case, necessary and sufficient conditions are proposed to ensure the stabilizing of the system. It can be found that the system will not show Zeno behavior. Numerical simulations are used to demonstrate the theoretical results.

Suggested Citation

  • Cui-Qin Ma & Wei-Guo Sun, 2018. "Bipartite Consensus for Multiagent Systems via Event-Based Control," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, October.
  • Handle: RePEc:hin:jnlmpe:8046576
    DOI: 10.1155/2018/8046576
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    Cited by:

    1. Zhu, Sha & Bao, Haibo & Cao, Jinde, 2022. "Bipartite synchronization of coupled delayed neural networks with cooperative-competitive interaction via event-triggered control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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