Stop-and-go suppression in two-class congested traffic. (English) Zbl 1471.93096
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.
Reviewer: Ti-Jun Xiao (Fudan)
MSC:
| 93B52 | Feedback control |
| 93C20 | Control/observation systems governed by partial differential equations |
| 90B20 | Traffic problems in operations research |
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