On the Analytical Properties of a Nonlinear Microscopic Dynamical Model for Connected and Automated Vehicles

Fuente: arXiv
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Autori principali: Matin, H. Nick Zinat, Yeo, Y., Gong, X., Monache, M. L. Delle
Natura: Preprint
Pubblicazione: 2024
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author Matin, H. Nick Zinat
Yeo, Y.
Gong, X.
Monache, M. L. Delle
author_facet Matin, H. Nick Zinat
Yeo, Y.
Gong, X.
Monache, M. L. Delle
contents In this paper, we propose an integrated dynamical model of Connected and Automated Vehicles (CAVs) which incorporates CAV technologies and a microscopic car-following model to improve safety, efficiency and convenience. We rigorously investigate the analytical properties such as well-posedness, maximum principle, perturbation and stability of the proposed model in some proper functional spaces. Furthermore, we prove that the model is collision free and we derive and explicit lower bound on the distance as a safety measure.
format Preprint
id arxiv_https___arxiv_org_abs_2405_16912
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Analytical Properties of a Nonlinear Microscopic Dynamical Model for Connected and Automated Vehicles
Matin, H. Nick Zinat
Yeo, Y.
Gong, X.
Monache, M. L. Delle
Dynamical Systems
In this paper, we propose an integrated dynamical model of Connected and Automated Vehicles (CAVs) which incorporates CAV technologies and a microscopic car-following model to improve safety, efficiency and convenience. We rigorously investigate the analytical properties such as well-posedness, maximum principle, perturbation and stability of the proposed model in some proper functional spaces. Furthermore, we prove that the model is collision free and we derive and explicit lower bound on the distance as a safety measure.
title On the Analytical Properties of a Nonlinear Microscopic Dynamical Model for Connected and Automated Vehicles
topic Dynamical Systems
url https://arxiv.org/abs/2405.16912