Avoiding collisions in flocks
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||IEEE Transactions on Automatic Control|
|Publication status||Published - May 2010|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-77952158023&origin=recordpage|
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.
- Collision avoidance, Convergence to consensus, Particle systems