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Consensus of output-coupled high-order linear multi-agent systems under deterministic and Markovian switching networks

Author

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  • Dmitry Vengertsev
  • Hongkeun Kim
  • Jin Heon Seo
  • Hyungbo Shim

Abstract

Consensus problem for high-order multi-agent systems is considered under deterministic and Markovian switching topologies. Only relative output information of agents is assumed to be available through the networks. First, a necessary and sufficient condition for achieving a consensus under a fixed communication network is presented. Based on this result and the stability of switched systems, a high-order multi-agent system with the proposed low-gain controller is shown to reach a consensus under deterministic switching network if the total time when the network is disconnected is, in some senses, smaller than the total time of the network being connected. Furthermore, the conditions sufficient for a high-order multi-agent system to reach an almost sure and mean-square consensus, under Markovian switching networks, are presented. Finally, illustrative examples are given to demonstrate the results.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1790-1799
    DOI: 10.1080/00207721.2013.835884
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    References listed on IDEAS

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    1. 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.
    2. Guoying Miao & Shengyuan Xu & Yun Zou, 2013. "Necessary and sufficient conditions for mean square consensus under Markov switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 178-186.
    3. Yanping Gao & Min Zuo & Tongqiang Jiang & Junping Du & Jingwei Ma, 2013. "Asynchronous consensus of multiple second-order agents with partial state information," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 966-977.
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