Emergent behavior in flocks
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal
Related Research Unit(s)
|Journal / Publication||IEEE Transactions on Automatic Control|
|Publication status||Published - May 2007|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-34249106048&origin=recordpage|
We provide a model (for both continuous and discrete time) describing the evolution of a flock. Our model is parameterized by a constant β capturing the rate of decay - which in our model is polynomial - of the influence between birds in the flock as they separate in space. Our main result shows that when β <1/2 convergence of the flock to a common velocity is guaranteed, while for β ≥ 1/2 convergence is guaranteed under some condition on the initial positions and velocities of the birds only. © 2007 IEEE.
- Consensus reaching problem, Emergence, Flocking