Eigenvalue and Eigenvector Analysis of Stability for a Line of Traffic
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eigenvalue_anlysis_final.pdf
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1.75 MB
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Adobe PDF
Checksum (MD5)
17ef450c828fce5c0b911806555a1f61
Author(s)
Horn, Berthold K. P.
Wang, Liang
Strang, W. Gilbert
Date Issued
September 2016
Journal
Studies in Applied Mathematics
Publisher
Wiley-Blackwell
Citation
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
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1111/SAPM.12144
