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

Hossein Nick Zinat Matin; Yuneil Yeo; Xiaoqian Gong; Maria Laura Delle Monache

doi:10.1109/LCSYS.2024.3412156

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

Hossein Nick Zinat Matin
, Yuneil Yeo
, Xiaoqian Gong
, Maria Laura Delle Monache

University of California
Department of Mathematics and Statistics
Amherst College

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this letter, 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 derive an explicit lower bound on the distance as a safety measure.

Original language	English
Pages (from-to)	1607-1612
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	8
DOIs	https://doi.org/10.1109/LCSYS.2024.3412156
Publication status	Published - 1 Jan 2024
Externally published	Yes

Keywords

Autonomous vehicles
collision analysis
intelligent systems
nonlinear microscopic dynamical model
traffic control

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10.1109/LCSYS.2024.3412156

Cite this

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AU - Matin, Hossein Nick Zinat

AU - Yeo, Yuneil

AU - Gong, Xiaoqian

AU - Monache, Maria Laura Delle

PY - 2024/1/1

Y1 - 2024/1/1

N2 - In this letter, 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 derive an explicit lower bound on the distance as a safety measure.

AB - In this letter, 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 derive an explicit lower bound on the distance as a safety measure.

KW - Autonomous vehicles

KW - collision analysis

KW - intelligent systems

KW - nonlinear microscopic dynamical model

KW - traffic control

UR - https://www.scopus.com/pages/publications/85196061685

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DO - 10.1109/LCSYS.2024.3412156

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

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

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Keywords

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