Sonia Martínez
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
Jacobs Faculty Scholar
Professor of Mechanical and Aerospace Engineering
This paper analyzes a discrete-time algorithm to synchronize an even number of agents moving back and forth on a unit circle. Each agent or "bead" changes direction upon encountering another bead moving in the opposite direction. Communication is sporadic: only when two beads come sufficiently close they are able to exchange information. This allows agents to update their state including their velocity and region of dominance on the boundary. Our analysis makes use of consensus algorithms tools and it works under the assumption that initially half the agents start to move in one direction and the other half in the opposite one.
@InProceedings{SS-FB-SM:07-cdc,
author = {S. Susca and F. Bullo and S. Mart{\'\i}nez},
booktitle = {46th IEEE International Conference on Decision and Control},
title = {Synchronization of beads on a ring},
year = {2007},
address = {New Orleans, Lousiana}
}