Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary Control of the Beam Equation by Linear Quadratic Regulation   We present and solve a Linear Quadratic Regulator (LQR) for the boundary
control of the beam equation. We use the simple technique of completing the
square to get an explicit solution. By decoupling the spatial frequencies we
are able to reduce an infinite dimensional LQR to an infinte family of two two
dimensional LQRs each of which can be solved explicitly.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph