| |
|
Description: |
Given a large number (the "flock") of moving physical objects (birds, robots, or otherwise), we investigate physically reasonable mechanisms of influencing their orbits in such a way that they move
along a prescribed course and in a prescribed and fixed configuration (or "in formation"). Each agent is programmed to see the position and velocity of a certain number of others. To be able to fly "in formation", an agent tries to match the mean position and velocity of his neighbors to his own. A linear feedback is used to ensure stability of the coherent flight patterns. We analyze in
detail how the communication graph affects the coherence of the stable flight patterns and give a characterization of these stable
flight patterns. We do the same if in addition the flight of the flock is guided by one or more leaders. We then use this theory to develop some applications. Examples of these are: flight guided by external controls, flocks of flocks, and some results about flocks whose formation is always oriented along the line of flight (such as
geese).
Area(s): joint seminar:
Algebra and Combinatorics,
Analysis,
Numerical Analysis, Optimization and Applications
|
|
Date: |
|
| Start Time: |
14:30 |
|
Speaker: |
J.J.P. Veerman
(Department of Mathematics & Statistics, Portland State University)
|
|
Place: |
5.5
|
| Research Groups: |
-Numerical Analysis and Optimization
|
|
See more:
|
<Main>
|
|
