Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: System-theoretic Analysis of Nonlinear Infinite-dimensional Systems with
  Generalized Symmetries   Symmetry groups allow to transform solutions of differential equations
continuously into other solutions. This property can be used for the
observability analysis of infinite-dimensional systems with input and output.
In this contribution, we extend an existing approach, which is based on
vertical classical symmetries, to non-vertical classical symmetries and
generalized symmetries. This makes the approach applicable to a much larger
class of systems, since many nonlinear systems do not possess any vertical
classical symmetries.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat