Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parallel Network Flow Allocation in Repeated Routing Games via LQR
  Optimal Control   In this article, we study the repeated routing game problem on a parallel
network with affine latency functions on each edge. We cast the game setup in a
LQR control theoretic framework, leveraging the Rosenthal potential
formulation. We use control techniques to analyze the convergence of the game
dynamics with specific cases that lend themselves to optimal control. We design
proper dynamics parameters so that the conservation of flow is guaranteed. We
provide an algorithmic solution for the general optimal control setup using a
multiparametric quadratic programming approach (explicit MPC). Finally we
illustrate with numerics the impact of varying system parameters on the
solutions.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga