Eigenvalue and Eigenvector Analysis of Stability for a Line of Traffic

• Published in: Studies in applied mathematics (Cambridge) Vol. 138; no. 1; pp. 103 - 132
• Main Authors: Wang, Liang, Horn, Berthold K. P., Strang, Gilbert
• Format: Journal Article
• Language: English
• Published: Cambridge Blackwell Publishing Ltd 01.01.2017
• Subjects: Applied mathematics; Differential equations; Eigenvalues; Simulation; Studies; Traffic flow

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 i...