4.7 Article

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

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 55, Issue 7, Pages 1679-1683

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2010.2046113

Keywords

Cucker-Smale (C-S) model; evolutionary Laplacian; flocking; Lyapunov functional; particles

Funding

  1. SNU-CNS
  2. Korea Research Foundation(KRF
  3. Korea government(MEST) [2009-0076973]
  4. [KRF-2008-C00060]
  5. National Research Foundation of Korea [2009-0076973] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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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.

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