• DocumentCode
    1430103
  • Title

    A General Collision-Avoiding Flocking Framework

  • Author

    Cucker, Felipe ; Dong, Jiu-Gang

  • Author_Institution
    Dept. of Math., City Univ. of Hong Kong, Kowloon, China
  • Volume
    56
  • Issue
    5
  • fYear
    2011
  • fDate
    5/1/2011 12:00:00 AM
  • Firstpage
    1124
  • Lastpage
    1129
  • Abstract
    We prove a general result of collision-avoiding flocking. The underlying model allows several forms of coupling forces and the main result ensures flocking provided the initial state of the population does not show simultaneously very different velocities, very spread positions or very close agents.
  • Keywords
    collision avoidance; Lipschitz continuous; collision-avoiding flocking; coupling force; Convergence; Couplings; Differential equations; Force; Kinetic theory; Mathematical model; $N$-dimensional Euclidean space; Lipschitz continuous;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2107113
  • Filename
    5692815