NEAR-COLLISION DYNAMICS IN A NOISY CAR-FOLLOWING MODEL

被引：2

作者：

Matin, Hossein Nick Zinat ^{[1
]}

Sowers, Richard B. ^{[2
,3
]}

机构：

[1] Univ Calif Berkeley, Dept Civil & Environm Engn, Berkeley, CA 94720 USA

[2] Univ Illinois, Dept Ind & Syst Enterprise Engn, Champaign, IL 61801 USA

[3] Univ Illinois, Dept Math, Champaign, IL 61801 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2022年 / 82卷 / 06期

基金：

美国国家科学基金会;

关键词：

car-following dynamics; Brownian perturbations; differential equations; asymptotics; AUTONOMOUS VEHICLES; BROWNIAN-MOTION;

D O I：

10.1137/21M1454055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a small stochastic perturbation of an optimal velocity car-following model. We give a detailed analysis of behavior near a collision singularity. We show that collision is impossible in a simplified model without noise and then show that collision is asymptotically unlikely over large time intervals in the presence of small noise, with the large time interval scaling like the square of the reciprocal of the strength of the noise. Our calculations depend on careful boundary-layer analyses.

引用

页码：2080 / 2110

页数：31

共 50 条

[1] Near-collision dynamics for particle systems with quasihomogeneous potentials
Diacu, FN
JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 128 (01) : 58 - 77
[2] Identifiability of car-following dynamics
Wang, Yanbing
Delle Monache, Maria Laura
Work, Daniel B.
PHYSICA D-NONLINEAR PHENOMENA, 2022, 430
[3] Research on car-following model based on molecular dynamics
Jia, Yanfeng
Qu, Dayi
Han, Lewei
Lin, Lu
Hong, Jiale
ADVANCES IN MECHANICAL ENGINEERING, 2021, 13 (02)
[4] Understanding the Dynamics of Collision and Near-Collision Motions in the N-Body Problem
Bakker, Lennard F.
Springer Proceedings in Mathematics and Statistics, 2013, 37 : 99 - 115
[5] AN EXTENDED MODEL FOR CAR-FOLLOWING
BEXELIUS, S
TRANSPORTATION RESEARCH, 1968, 2 (01): : 13 - &
[6] An ANFIS controller for the car-following collision prevention system
Mar, J
Lin, FJ
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2001, 50 (04) : 1106 - 1113
[7] Car-Following Dynamics, Characteristics, and Model Based on Interaction Potential Function
Qu, Dayi
Zhao, Zixu
Hu, Chunyan
Wang, Tao
Song, Hui
JOURNAL OF ADVANCED TRANSPORTATION, 2022, 2022
[8] An Intelligent Evolving Car-Following Model
Abdollahzade, Majid
Kazemi, Reza
IEEE ACCESS, 2023, 11 : 506 - 516
[9] Model estimation for car-following dynamics based on adaptive filtering approach
Ma, Xiaoliang
Jansson, Magnus
2007 IEEE INTELLIGENT TRANSPORTATION SYSTEMS CONFERENCE, VOLS 1 AND 2, 2007, : 684 - 689
[10] A model of car-following behavior at sags
Faculty of Civil Engineering and Geosciences, Department of Transport and Planning, Delft University of Technology, Stevinweg 1, Delft
2628 CN, Netherlands
Traffic Granul. Flow, 1600, (385-393):

← 1 2 3 4 5 →