The Stability Analysis for an Extended Car Following Model Based on Control Theory

A new method is proposed to study the stability of the car-following model considering traffic interruption probability. The stability condition for the extended ear-following model is obtained by using the Lyapunov function and the condition for no traffic jam is also given based on the control the...

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Veröffentlicht in:Chinese physics letters 2014-08, Vol.31 (8), p.20-23
1. Verfasser: 葛红霞 孟祥佩 朱克强 程荣军
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description A new method is proposed to study the stability of the car-following model considering traffic interruption probability. The stability condition for the extended ear-following model is obtained by using the Lyapunov function and the condition for no traffic jam is also given based on the control theory. Numerical simulations are conducted to demonstrate and verify the analytical results. Moreover, numerical simulations show that the traffic interruption probability has an influence on driving behavior and confirm the effectiveness of the method on the stability of traffic flow.
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subjects Car following
Computer simulation
Control theory
Interruption
Lyapunov函数
Mathematical models
Stability
Traffic engineering
Traffic flow
中断概率
控制理论
数值模拟
稳定性分析
稳定条件
跟车模型
跟驰模型
title The Stability Analysis for an Extended Car Following Model Based on Control Theory
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