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

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.