Name
Abstract | ||
|---|---|---|
The well-known Cucker-Smale model is a microscopic system reproducing the alignment of velocities in a group of autonomous agents. Here, we focus on its mean-field limit, which we call the continuous Cucker-Smale model. It is a transport partial differential equation with nonlocal terms. For some choices of the parameters in the Cucker-Smale model (and the continuous one), alignment is not ensured for some initial configurations, therefore it is natural to study the enforcing of alignment via an external force. We provide a control strategy enforcing alignment for every initial data and acting only on a small portion of the crowd at each time. This is an adapted version of the sparse control for a finite number of agent, that is the constraint of acting on a small number of agents at each time. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/ACC.2015.7170907 | ACC |
Keywords | Field | DocType |
control of transport PDEs, PDEs with nonlocal terms, Cucker-smale model, collective behavior | Small number,Autonomous agent,Finite set,Control theory,Computer science,Control engineering,Aerospace electronics,Robot,Partial differential equation | Conference |
ISSN | ISBN | Citations |
0743-1619 | 978-1-4799-8685-9 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Benedetto Piccoli | 1 | 360 | 61.32 |
| Francesco Rossi | 2 | 52 | 10.13 |
| Emmanuel Trélat | 3 | 183 | 24.42 |