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On topology and dynamics of consensus among linear high-order agents

Author

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  • Peter Wieland
  • Jung-Su Kim
  • Frank Allgöwer

Abstract

Consensus of a group of agents in a multi-agent system with and without a leader is considered. All agents are modelled by identical linear n-th order dynamical systems while the leader, when it exists, may evolve according to a different linear model of the same order. The interconnection topology between the agents is modelled as a directed weighted graph. We provide answers to the questions of whether the group converges to consensus and what consensus value the group eventually reaches. To that end, we give a detailed analysis of relevant algebraic properties of the graph Laplacian. Furthermore, we propose an LMI-based design for group consensus in the general case.

Suggested Citation

  • Peter Wieland & Jung-Su Kim & Frank Allgöwer, 2011. "On topology and dynamics of consensus among linear high-order agents," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(10), pages 1831-1842.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1831-1842
    DOI: 10.1080/00207721003658202
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    Cited by:

    1. Abdul Aris Umar & Kunhee Ryu & Juhoon Back & Jung-Su Kim, 2024. "Stability Margin of Data-Driven LQR and Its Application to Consensus Problem," Mathematics, MDPI, vol. 12(2), pages 1-16, January.
    2. Yunpeng Wang & Long Cheng & Zeng-Guang Hou & Min Tan & Chao Zhou & Ming Wang, 2015. "Consensus seeking in a network of discrete-time linear agents with communication noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1874-1888, July.
    3. Dmitry Vengertsev & Hongkeun Kim & Jin Heon Seo & Hyungbo Shim, 2015. "Consensus of output-coupled high-order linear multi-agent systems under deterministic and Markovian switching networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1790-1799, July.
    4. Lu Yu & Jinzhi Wang, 2014. "Distributed output regulation for multi-agent systems with norm-bounded uncertainties," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2376-2389, November.

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