Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Suppression of Oscillations in Two-Class Traffic by Full-State Feedback   This paper develops a full-state feedback controller that damps out
oscillations in traffic density and traffic velocity whose dynamical behavior
is governed by the linearized two-class Aw-Rascle (AR) model. Thereby, the
traffic is considered to be in the congested regime and subdivided in two
classes whereas each class represents vehicles with the same size and driver's
behavior. The macroscopic second-order two-class AR model consists of four
first order hyperbolic partial differential equations (PDEs) and introduces a
concept of area occupancy to depict the mixed density of two-class vehicles in
the traffic. Moreover, the linearized model equations show heterodirectional
behavior with both positive and negative characteristic speeds in the congested
regime. The control objective is to achieve convergence to a constant
equilibrium in finite time. The control input is realized by ramp metering
acting at the outlet of the considered track section. The backstepping method
is employed to design full-state feedback for the $4\times 4$ hyperbolic PDEs.
The performance of the full-state feedback controller is verified by
simulation.

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The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics