Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Pontryagin principle approach to controllability metrics
  maximization under sparsity constraints   Controllability maximization problem under sparsity constraints is a node
selection problem that selects inputs that are effective for control in order
to minimize the energy to control for desired state. In this paper we discuss
the equivalence between the sparsity constrained controllability metrics
maximization problems and their convex relaxation. The proof is based on the
matrix-valued Pontryagin maximum principle applied to the controllability
Lyapunov differential equation.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex