Near Collision and Controllability Analysis of Nonlinear Optimal Velocity Follow-the-Leader Dynamical Model In Traffic Flow

TL;DR

This paper analyzes the collision behavior and controllability of a nonlinear microscopic traffic model, providing a rigorous boundary-layer analysis to understand the dynamics near collisions and their impact on traffic flow control.

Contribution

It introduces a detailed boundary-layer analysis of the optimal velocity follow-the-leader model, highlighting collision behavior and controllability aspects.

Findings

Boundary-layer analysis clarifies collision dynamics.

Model behavior near singularities is characterized.

Insights into traffic flow controllability are provided.

Abstract

This paper examines the optimal velocity follow-the-leader dynamics, a microscopic traffic model, and explores different aspects of the dynamical model, with particular emphasis on collision analysis. More precisely, we present a rigorous boundary-layer analysis of the model which provides a careful understanding of the behavior of the dynamics in trade-off with the singularity of the model at collision which is essential in the controllability of the system.