论文标题
非本地PDE交通流模型的分析和控制
Analysis and Control of a Non-Local PDE Traffic Flow Model
论文作者
论文摘要
该论文提供了可以保证在戒指上的非本地保护定律的经典解决方案的存在和独特性的条件，并可能采用（或“看”）术语。所获得的条件是新颖的，因为文献中的现有结果不涵盖它们。该论文还提供了结果，表明纽约可以增加环路中的流动，如果设计正确，可以对交通流量产生强大的稳定作用。更具体地说，该论文得出的结果可以保证L2状态标准中均匀平衡的局部指数稳定性，即使对于无环路中均匀平衡曲线而不剥削的情况下，并不是渐近稳定，并且模型允许密度波。使用数值示例证明了使用nuding项的效率。通过数值示例证明了使用nuding项的效率。
The paper provides conditions that guarantee existence and uniqueness of classical solutions for a non-local conservation law on a ring-road with possible nudging (or "look behind") terms. The obtained conditions are novel, as they are not covered by existing results in the literature. The paper also provides results which indicate that nudging can increase the flow in a ring-road and, if properly designed, can have a strong stabilizing effect on traffic flow. More specifically, the paper gives results which guarantee local exponential stability of the uniform equilibrium in the L2 state norm even for cases where the uniform equilibrium profile in a ring-road without nudging is not asymptotically stable and the model admits density waves. The efficiency of the use of nudging terms is demonstrated by means of a numerical example.even for cases where the uniform equilibrium profile in a ring-road without nudging is not asymptotically stable and the model admits density waves. The efficiency of the use of nudging terms is demonstrated by means of a numerical example.
