Stop-and-go suppression in two-class congested traffic (Q2663877)

This work presents an output feedback controller for the linearized two-class Aw-Rascle traffic model. Under some assumptions, the authors prove that for the linearized two-class Aw-Rascle model \[J_t z_t + J_xz_x + Jz = 0 \] (where \(z \in R^4\) and \(J_t\), \(J_x\) and \(J\) are some \(4\times 4\) Jacobian matrices) with certain boundary conditions, the related perturbations converge to the equilibrium at zero in finite time.