Instruct: Identify the main and secondary category of Arxiv papers based on the titles
Query: Lyapunov characterization of input-to-state stability for semilinear
  control systems over Banach spaces
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph