Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feedback Stabilization of a Class of Perturbed Nonlinear Autonomous
  Difference Equations   This paper investigates the local asymptotic stabilization of a very general
class of instable autonomous nonlinear difference equations which are subject
to perturbed dynamics which can have a different order that that of the nominal
difference equation. In the general case, the controller consists of two
combined parts, namely, the feedback nominal controller which stabilizes the
nominal (i.e. perturbation - free) difference equation plus an incremental
controller which completes the stabilization in the presence of dynamics in the
uncontrolled difference equation. A stabilization variant consists of using a
single controller to stabilize the nominal difference equation and also the
perturbed one under a smallness-type characterization of the perturbed
dynamics. The study is based on Banach fixed point principle and it is also
valid with slight modification for the stabilization of unstable oscillatory
solutions.

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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys