Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of Lie algebroids and its applications to optimal control   The paper presents the geometry of Lie algebroids and its applications to
optimal control. The first part deals with the theory of Lie algebroids,
connections on Lie algebroids and dynamical systems defined on Lie algebroids
(mainly Lagrangian and Hamiltonian systems). In the second part we use the
framework of Lie algebroids in the study of distributional systems (drift less
control affine systems) with holonomic or nonholonomic distributions.

12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics