TY - JOUR
T1 - Avoiding collisions in flocks
AU - Cucker, Felipe
AU - Dong, Jiu-Gang
PY - 2010/5
Y1 - 2010/5
N2 - Among the many models for flocking systems of interacting particles, the one introduced by Cucker and Smale has attracted attention due to the fact that a convergence to flocking (i.e., to a common velocity) could be established depending on conditions on the initial state of the system. In this note we extend this model by adding to it a repelling force between particles. We show that, for this modified model, convergence to flocking is established along the same lines while, in addition, avoidance of collisions (i.e., the respect of a minimal distance between particles) is ensured. © 2010 IEEE.
AB - Among the many models for flocking systems of interacting particles, the one introduced by Cucker and Smale has attracted attention due to the fact that a convergence to flocking (i.e., to a common velocity) could be established depending on conditions on the initial state of the system. In this note we extend this model by adding to it a repelling force between particles. We show that, for this modified model, convergence to flocking is established along the same lines while, in addition, avoidance of collisions (i.e., the respect of a minimal distance between particles) is ensured. © 2010 IEEE.
KW - Collision avoidance
KW - Convergence to consensus
KW - Particle systems
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77952158023&origin=recordpage
U2 - 10.1109/TAC.2010.2042355
DO - 10.1109/TAC.2010.2042355
M3 - 21_Publication in refereed journal
VL - 55
SP - 1238
EP - 1243
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
SN - 0018-9286
IS - 5
M1 - 5406110
ER -