论文标题
非本地LWR交通流模型的Lyapunov稳定
Lyapunov stabilization of a nonlocal LWR traffic flow model
论文作者
论文摘要
使用非局部宏观LWR型交通流量模型，我们提出了一种控制非本地速度对给定平衡速度的方法。因此，我们提出了一个Lyapunov功能，该功能测量了这些速度之间的$ l^2 $距离。我们计算系统趋于固定速度的明确速率。交通由领先的车辆控制。数值示例证明了理论结果和可能的扩展。
Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyapunov function measuring the $L^2$ distance between these velocities. We compute the explicit rate at which the system tends towards the stationary speed. The traffic is controlled by a leading vehicle. Numerical examples demonstrate the theoretical results and possible extensions of them.
