| dc.contributor |
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory |
|
| dc.contributor |
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
|
| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.contributor |
Horn, Berthold K. P. |
|
| dc.contributor |
Wang, Liang |
|
| dc.contributor |
Strang, W. Gilbert |
|
| dc.creator |
Horn, Berthold K. P. |
|
| dc.creator |
Wang, Liang |
|
| dc.creator |
Strang, W. Gilbert |
|
| dc.date |
2018-06-25T15:46:24Z |
|
| dc.date |
2018-06-25T15:46:24Z |
|
| dc.date |
2016-09 |
|
| dc.date |
2016-05 |
|
| dc.date |
2018-06-20T15:10:12Z |
|
| dc.date.accessioned |
2023-03-01T08:02:45Z |
|
| dc.date.available |
2023-03-01T08:02:45Z |
|
| dc.identifier |
0022-2526 |
|
| dc.identifier |
1467-9590 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/116562 |
|
| dc.identifier |
Wang, Liang et al. “Eigenvalue and Eigenvector Analysis of Stability for a Line of Traffic.” Studies in Applied Mathematics 138, 1 (September 2016): 103–132 © 2016 Wiley Periodicals, Inc |
|
| dc.identifier |
https://orcid.org/0000-0003-3434-391X |
|
| dc.identifier |
https://orcid.org/0000-0002-9300-1832 |
|
| dc.identifier |
https://orcid.org/0000-0001-7473-9287 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/275952 |
|
| dc.description |
Many authors have recognized that traffic under the traditional car-following model (CFM) is subject to flow instabilities. A recent model achieves stability using bilateral control (BCM)—by looking both forward and backward [1]. (Looking back may be difficult or distracting for human drivers, but is not a problem for sensors.) We analyze the underlying systems of differential equations by studying their eigenvalues and eigenvectors under various boundary conditions. Simulations further confirm that bilateral control can avoid instabilities and reduce the chance of collisions. |
|
| dc.format |
application/pdf |
|
| dc.publisher |
Wiley-Blackwell |
|
| dc.relation |
http://dx.doi.org/10.1111/SAPM.12144 |
|
| dc.relation |
Studies in Applied Mathematics |
|
| dc.rights |
Creative Commons Attribution-Noncommercial-Share Alike |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.source |
Prof. Strang via Michael Noga |
|
| dc.title |
Eigenvalue and Eigenvector Analysis of Stability for a Line of Traffic |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|