Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on Pontryagin maximum principle with running state constraints and
  smooth dynamics -- Proof based on the Ekeland variational principle   In this note our aim is to give a proof of the Pontryagin maximum principle
for a general optimal control problem with running state constraints and smooth
dynamics. Our proof is based on the classical Ekeland variational principle.
The main result (and its proof) of this note are not new and are already
well-known in the literature. The aim of the author is only to provide a
complete and detailed proof of this classical theorem in the case of smooth
dynamics. If you have any remarks or questions, do not hesitate to contact the
author at loic.bourdin@unilim.fr.

10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg