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

TL;DR

This paper introduces a comprehensive microscopic dynamical model for connected and automated vehicles, analyzing its mathematical properties and safety guarantees to enhance understanding of CAV behavior.

Contribution

It presents a novel integrated model for CAVs and rigorously investigates its analytical properties, including stability and collision avoidance, which are crucial for safe vehicle operation.

Findings

Model is well-posed and stable

Proven collision-free behavior

Derived explicit safety distance bounds

Abstract

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.