Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation and implementation of an optimal mean field control for
  smart charging   This paper addresses an optimal control problem for a large population of
identical plug-in electric vehicles (PEVs). The number of PEVs being large, the
mean field assumption is formulated to describe the evolution of the PEVs
population and its interaction with the central planner. The resulting problem
of optimal control of partial differential equations (PDEs) is discretized.
Using convex analysis tools, we show the existence of an optimal solution and
the convergence of the Chambolle-Pock algorithm to a solution. The
implementation of this optimal control to the finite population of PEVs is
detailed and we illustrate our approach with two numerical examples.

4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ