• DocumentCode
    1449201
  • Title

    Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings

  • Author

    Ha, Seung-Yeal ; Ha, Taeyoung ; Kim, Jong-Ho

  • Author_Institution
    Dept. of Math. Sci., Seoul Nat. Univ., Seoul, South Korea
  • Volume
    55
  • Issue
    7
  • fYear
    2010
  • fDate
    7/1/2010 12:00:00 AM
  • Firstpage
    1679
  • Lastpage
    1683
  • Abstract
    In this note, we present a Cucker-Smale type flocking model with nonlinear velocity couplings, and derive sufficient conditions for the formation of flocking in terms of communication weight and initial spatial, velocity standard deviations.
  • Keywords
    differential equations; nonlinear dynamical systems; self-adjusting systems; Cucker-Smale type flocking model; Cucker-Smale type particle model; communication weight; nonlinear velocity coupling; velocity standard deviation; Automotive engineering; Autonomous agents; Biological system modeling; Biosensors; Communication standards; Couplings; Fluctuations; Laplace equations; Mechanical sensors; Robustness; Sufficient conditions; Yield estimation; Cucker-Smale (C–S) model; Lyapunov functional; evolutionary Laplacian; flocking; particles;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2010.2046113
  • Filename
    5437295