Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary sampled-data feedback stabilization for parabolic equations   The aim of this work is to design an explicit finite dimensional boundary
feedback controller of sampled-data form for locally exponentially stabilizing
the equilibrium solutions to semilinear parabolic equations. The feedback
controller is expressed in terms of the eigenfunctions corresponding to
unstable eigenvalues of the linearized equation. This stabilizing procedure is
applicable for any sampling rate, not necessary to be small enough, and it
tends to the continuous-times version when the sampling period tends to zero.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th