Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous-Time Singular Linear-Quadratic Control: Necessary and
  Sufficient Conditions for the Existence of Regular Solutions   The purpose of this paper is to close the remaining gaps in the understanding
of the role that the constrained generalized continuous algebraic Riccati
equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in
spite of the vast literature on LQ problems, it is only in a recent paper that
a sufficient condition for the existence of a non-impulsive optimal control has
for the first time connected this equation with the singular LQ optimal control
problem. In this paper, we establish four equivalent conditions providing a
complete picture that connects the singular LQ problem with the generalized
continuous algebraic Riccati equation and with the geometric properties of the
underlying system.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas