• DocumentCode
    635163
  • Title

    Consensus of fractional-order linear systems

  • Author

    Chao Song ; Jinde Cao

  • Author_Institution
    Dept. of Math., Southeast Univ., Nanjing, China
  • fYear
    2013
  • fDate
    23-26 June 2013
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems (MAS) with directed interaction topology when the fractional order α satisfies 0 <; α <; 2, by transforming it into the stability of a set of matrices. Based on the stability theory of fractional-order system, some sufficient and necessary conditions are presented to ensure the consensus of MAS in terms of linear matrix inequalities, and the feedback matrix of the proposed protocol is also determined accordingly.
  • Keywords
    feedback; linear matrix inequalities; linear systems; multi-agent systems; stability; LMI; MAS; consensus control problem; directed interaction topology; feedback matrix; fractional-order linear multi-agent systems; fractional-order linear systems; linear matrix inequalities; protocol; stability theory; Eigenvalues and eigenfunctions; Heuristic algorithms; Linear matrix inequalities; Multi-agent systems; Network topology; Protocols; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ASCC), 2013 9th Asian
  • Conference_Location
    Istanbul
  • Print_ISBN
    978-1-4673-5767-8
  • Type

    conf

  • DOI
    10.1109/ASCC.2013.6606402
  • Filename
    6606402