Lyapunov stabilization of a nonlocal LWR traffic flow model
Optimization and Control
2022-10-06 v1
Abstract
Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyapunov function measuring the distance between these velocities. We compute the explicit rate at which the system tends towards the stationary speed. The traffic is controlled by a leading vehicle. Numerical examples demonstrate the theoretical results and possible extensions of them.
Keywords
Cite
@article{arxiv.2210.02309,
title = {Lyapunov stabilization of a nonlocal LWR traffic flow model},
author = {Jan Friedrich},
journal= {arXiv preprint arXiv:2210.02309},
year = {2022}
}