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Consensus of linear multi-agent systems with communication delays by using the information of second-order neighbours under intermittent communication topology

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  • Xia Xiao
  • Xiaowu Mu

Abstract

This paper investigates the consensus of identical linear multi-agent systems with aperiodic intermittent communication topology by using the information of second-order neighbours (two-hop neighbourhood). The protocols based on two-hop neighbourhood information and intermittent communication topology are designed, under which consensus is reached. If the communication rate is larger than the corresponding threshold value, the networks will accelerate consensus by using two-hop neighbourhood information. By means of switching systems theory and Lyapunov–Razumikhin theorem, consensus of multi-agent systems with communication delays and intermittent communication topology is reached by two-hop neighbourhood information. Finally, simulation examples are provided to show the effectiveness of the theoretical results.

Suggested Citation

  • Xia Xiao & Xiaowu Mu, 2017. "Consensus of linear multi-agent systems with communication delays by using the information of second-order neighbours under intermittent communication topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 200-208, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:200-208
    DOI: 10.1080/00207721.2016.1218571
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    1. Adler, Jeffrey L. & Satapathy, Goutam & Manikonda, Vikram & Bowles, Betty & Blue, Victor J., 2005. "A multi-agent approach to cooperative traffic management and route guidance," Transportation Research Part B: Methodological, Elsevier, vol. 39(4), pages 297-318, May.
    2. Lina Rong & Shengyuan Xu & Baoyong Zhang & Yun Zou, 2013. "Accelerating average consensus by using the information of second-order neighbours with communication delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1181-1188.
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    Cited by:

    1. Yao, Lingling & Xie, Dongmei & Wang, Han, 2023. "Complex group consensus of multi-agent systems with cooperative-competitive mechanisms: acyclic partition method," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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