Abstract This paper develops an output feedback control law in order to damp out traffic oscillations the congested regime of linearized two-class Aw-Rascle (AR) model. The macroscopic second-order AR model consists four hyperbolic partial differential equations (PDEs) describing dynamics densities and velocities on freeway. Each vehicle class is characterized by its own size driver’s behavior....

This paper considers the problem of finding the least cost rectilinear distance path in the presence of convex polygonal congested regions. An upper bound for the number of entry/exit points for a congested region is obtained. Based on this key finding, we demonstrate that there are a finite, though exponential number of potential least cost paths between a specified pair of origin-destination ...