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Higher-Order Cluster Consensus in Continuous-Time Networks

Develer, Umit; Akar, Mehmet


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/7539</identifier>
  <creators>
    <creator>
      <creatorName>Develer, Umit</creatorName>
      <givenName>Umit</givenName>
      <familyName>Develer</familyName>
      <affiliation>Bogazici Univ, Dept Elect &amp; Elect Engn, TR-34342 Istanbul, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Akar, Mehmet</creatorName>
      <givenName>Mehmet</givenName>
      <familyName>Akar</familyName>
      <affiliation>Bogazici Univ, Dept Elect &amp; Elect Engn, TR-34342 Istanbul, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Higher-Order Cluster Consensus In Continuous-Time Networks</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2020</publicationYear>
  <dates>
    <date dateType="Issued">2020-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Conference paper</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/7539</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.81043/aperta.7538</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.81043/aperta.7539</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">In this paper, we investigate the agreement of multi-agent systems with higher-order continuous-time dynamics. We state the conditions which guarantee cluster consensus for systems evolving over any given directed graph where the clusters are not pre-determined. The number of clusters and the stability properties of the multi-agent system are analyzed based on primary and secondary layer subgraph concepts. Theoretical results are illustrated via several simulations.</description>
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