Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal control and stablilization for linear continuous-time mean-field
  systems with delay   This paper studies optimal control and stabilization problems for
continuous-time mean-field systems with input delay, which are the fundamental
development of control and stabilization problems for mean-field systems. There
are two main contributions: 1) To the best of our knowledge, the present paper
is first to establish the necessary and sufficient solvability condition for
this kind of optimal control problem with delay, and to derive an optimal
controller through overcoming the obstacle that separation principle no longer
holds for multiplicative-noise systems; 2) For the stabilization problem, under
the assumption of exact observability, we strictly prove thatthe system is
stabilizable if and only if the algebraic Riccati equation has a unique
positive definite solution.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex