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 |
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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. |
doi_str_mv | 10.1088/0256-307X/31/8/080505 |
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source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
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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