Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of an observation window of finite width for continuous-time
  autonomous nonlinear systems   In this paper, the relationship between notions of observability for
continuous-time nonlinear system related to distinguishability, observability
rank condition and K-function has been investigated. It is proved that an
autonomous nonlinear system that is observable in both distinguishability and
rank condition sense permits an observation window of finite width, and it is
possible to construct a K-function related to observability for such system.

34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph