Linear stability and nonlinear analyses of traffic waves for the general nonlinear car-following model with multi-time delays
Linear stability and nonlinear analyses of traffic waves for the general nonlinear car-following model with multi-time delays
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DOI：
10.1016/j.physa.2018.02.179
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发表时间：
2018-07
期刊：
影响因子：
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通讯作者：
Dihua Sun;Dong Chen;Min Zhao;Weining Liu;Linjiang Zheng
中科院分区：
文献类型：
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作者：
Dihua Sun;Dong Chen;Min Zhao;Weining Liu;Linjiang Zheng
本文研究了一般的多时滞非线性跟驰模型，以描述车辆对驾驶行为的反应。对于一般的非线性跟驰模型，得到了车队稳定性和串稳定性准则。采用约化摄动法导出了Burgers方程和Korteweg de弗里斯（KdV）方程及其孤立波解。本文采用解析和数值相结合的方法研究了典型的最优速度模型的性质，该模型估计了延误对交通拥堵演化的影响。数值结果表明，相对运动感知时延比主体运动感知时延对交通流的稳定性更敏感。
In this paper, the general nonlinear car-following model with multi-time delays is investigated in order to describe the reactions of vehicle to driving behavior. Platoon stability and string stability criteria are obtained for the general nonlinear car-following model. Burgers equation and Korteweg de Vries (KdV) equation and their solitary wave solutions are derived adopting the reductive perturbation method. We investigate the properties of typical optimal velocity model using both analytic and numerical methods, which estimates the impact of delays about the evolution of traffic congestion. The numerical results show that time delays in sensing relative movement is more sensitive to the stability of traffic flow than time delays in sensing host motion.