Abstract:
A vehicle with different (eventually controlled) dynamics from general traffic along a street may reduce the road capacity, thus generating a moving bottleneck, and can be used to act on the traffic flow. The interaction between the controlled vehicle and the surrounding traffic, and the consequent flow reduction at the bottleneck position, can be described either by a conservation law with space dependent flux function [200], or by a strongly coupled PDE-ODE system proposed in [112, 208].
Publication date:
January 1, 2022
Publication type:
Book Chapter
Citation:
Bayen, A., Monache, M. L. D., Garavello, M., Goatin, P., & Piccoli, B. (2022). Lagrangian Control of Conservation Laws and Mixed Models. In A. Bayen, M. L. Delle Monache, M. Garavello, P. Goatin, & B. Piccoli (Eds.), Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (pp. 111–138). Springer International Publishing. https://doi.org/10.1007/978-3-030-93015-8_5