Emergent behavior in flocks
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 852-862 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 52 |
| Issue number | 5 |
| Publication status | Published - May 2007 |
Link(s)
Abstract
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.
Research Area(s)
- Consensus reaching problem, Emergence, Flocking
Citation Format(s)
Emergent behavior in flocks. / Cucker, Felipe; Smale, Steve.
In: IEEE Transactions on Automatic Control, Vol. 52, No. 5, 05.2007, p. 852-862.
In: IEEE Transactions on Automatic Control, Vol. 52, No. 5, 05.2007, p. 852-862.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
