Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Adaptive LQ Regulator   The optimal adaptive control of a linear system in a signal-plus-noise
setting with infinite horizon LQ regulator cost is studied. The class of
partially observed linear systems for which the certainty equivalence property
holds is identified. It is also shown that a linear system is adaptively
stabilizable if and only if it is uniformly stabilizable, and the class of
partially observed linear systems for which the certainty equivalence value
function is a supersolution of the Bellman equation is identified.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an