Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbations of Admissibility, Exact Controllability, Exact
  Observability and Regularity   This paper is concerned with the notions of admissibility, exact
controllability, exact observability and regularity of linear systems in the
Banach space setting. It is proved that admissible controllability, exact
controllability, admissible observation, exact observability and regularity are
invariant under some regular perturbations of the generators, such results are
generalizations of some previous references. Moreover, the related boundary
linear systems and some illustrative examples are presented.

5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat