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
fDate :
7/1/2010 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2046113
