• DocumentCode
    1731402
  • Title

    On equilibria and consensus of high-order Kuramoto model

  • Author

    Zhu Jiandong

  • Author_Institution
    Inst. of Math., Nanjing Normal Univ., Nanjing, China
  • fYear
    2013
  • Firstpage
    6941
  • Lastpage
    6946
  • Abstract
    In this paper, generalized forms of Kuramoto model in the general high-dimensional linear space are investigated. First, some results on equilibria of Kuramoto model are extended to high-order case. Next, under some limited initial conditions, the consensus problem of high-order Kuramoto model is solved. Finally, numerical simulations are given to illustrate the theoretical results.
  • Keywords
    directed graphs; interconnections; multi-agent systems; arbitrary interconnection topology; consensus problem; digraph; equilibria problem; general high-dimensional linear space; high-order Kuramoto model; high-order multiagent systems; numerical simulations; Biological system modeling; Couplings; Mathematical model; Multi-agent systems; Numerical models; Symmetric matrices; Vectors; Consensus; high-order multi-agent systems; multi-vehicle model; switching topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (CCC), 2013 32nd Chinese
  • Conference_Location
    Xi´an
  • Type

    conf

  • Filename
    6640658