针对现有跟驰模型存在的不足，文中提出了一种新的优化速度( 期望速度) 函数，基于“刺激－ 反应”模式建立了改进的车辆跟驰动力学模型，并运用李亚普诺夫运动稳定性理论对其进行了稳定性分析．最后运用实测数据对模型进行了参数标定和应用性验证．结果表明: 改进模型在模拟交通流的启动加速、近似匀速和减速过程方面与实测数据都具有较高的一致性，没有出现已有模型的不切实际的加速度．

In order to overcome the shortcomings of current car-following models,a novel optimal velocity ( desired velocity) function is proposed and an improved car-following dynamic model is established based on the“stimulusresponse” pattern. Then,the stability of this model is analyzed by using the Lyapunov stability theory on motion. Finally,the parameter calibration and application verification of the improved model are performed by using the
measured data. The results show that the theoretical results of the improved model accord well with the experimental data in terms of starting acceleration,approximately uniform speed and deceleration,without unrealistic acceleration which occurs in other models.