Stability Analysis for Car Following Model Based on Control Theory

Stability analysis is one of the key issues in car-following theory. The stability analysis with Lyapunov function for the two velocity difference car-following model （for short, TVDM） is conducted and the control method to suppress traffic congestion is introduced. Numerical simulations are given a...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 61; no. 5; pp. 636 - 640
Main Author 孟祥佩 李志鹏 葛红霞
Format Journal Article
LanguageEnglish
Published 01.05.2014
Subjects
Car following
Computer simulation
Congestion
Control theory
Lyapunov functions
Lyapunov函数
Mathematical models
Stability analysis
Traffic engineering
交通拥堵
控制理论
数值模拟
稳定性分析
跟车模型
跟驰模型
速度差
Online AccessGet full text
ISSN0253-6102
1572-9494
DOI10.1088/0253-6102/61/5/16

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Summary:Stability analysis is one of the key issues in car-following theory. The stability analysis with Lyapunov function for the two velocity difference car-following model （for short, TVDM） is conducted and the control method to suppress traffic congestion is introduced. Numerical simulations are given and results are consistent with the theoretical analysis.
Bibliography:11-2592/O3
Stability analysis is one of the key issues in car-following theory. The stability analysis with Lyapunov function for the two velocity difference car-following model （for short, TVDM） is conducted and the control method to suppress traffic congestion is introduced. Numerical simulations are given and results are consistent with the theoretical analysis.
traffic flow, two velocity difference car-following model, Lyapunov stability theory
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/61/5/16