Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy of Generating Series for Nonlinear Input-Output Systems and
  Their Interconnections   This paper has two main objectives. The first is to introduce a notion of
entropy that is well suited for the analysis of nonlinear input-output systems
that have a Chen-Fliess series representation. The latter is defined in terms
of its generating series over a noncommutative alphabet. The idea is to assign
an entropy to a generating series as an element of a graded vector space. The
second objective is to describe the entropy of generating series originating
from interconnected systems of Chen-Fliess series that arise in the context of
control theory. It is shown that one set of interconnections can never increase
entropy as defined here, while a second set has the potential to do so. The
paper concludes with a brief introduction of an entropy ultrametric space.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph