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Consensus of continuous-time agent dynamics with unknown input and communication delays

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  • Wang, Zhenhua

Abstract

This paper mainly considers the consensus of general first-order continuous-time agents involving delays in both the input and communication network. Suppose that the agent dynamics is unstable and the directed topology contains a spanning tree, control gain depending on the delays bound is employed to design protocol, and some conditions are established to assure consensus. It is shown that the delays in this paper are admitted to be unknown, and the consensus can be realized if the sum of delays is not bigger than the provided bound. Furthermore, delays in this study could be time-varying in some circumstances and consensus of the vector case with a single unstable pole is also researched. Finally, the validity of the proposed results are certified via a numerical example.

Suggested Citation

  • Wang, Zhenhua, 2022. "Consensus of continuous-time agent dynamics with unknown input and communication delays," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    • Handle: RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006470
    DOI: 10.1016/j.amc.2021.126563
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    References listed on IDEAS

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    1. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    2. H.J. Savino & F.O. Souza & L.C.A. Pimenta, 2016. "Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2475-2486, July.
    3. Ya Zhang & Yu-Ping Tian, 2014. "Allowable delay bound for consensus of linear multi-agent systems with communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(10), pages 2172-2181, October.
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