Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the characterization of the controllability property for linear
  control systems on nonnilpotent, solvable three-dimensional Lie groups   In this paper we show that a complete characterization of the controllability
property for linear control system on three-dimensional solvable nonnilpotent
Lie groups is possible by the LARC and the knowledge of the eigenvalues of the
derivation associated with the drift of the system.

1
The categories of this paper are: cs
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th