Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the derivation of stability properties for time-delay systems without
  constraint on the time-derivative of the initial condition   Stability of retarded differential equations is closely related to the
existence of Lyapunov-Krasovskii functionals. Even if a number of converse
results have been reported regarding the existence of such functionals, there
is a lack of constructive methods for their selection. For certain classes of
time-delay systems for which such constructive methods are lacking, it was
shown that Lyapunov-Krasovskii functionals that are also allowed to depend on
the time-derivative of the state-trajectory are efficient tools for the study
of the stability properties. However, in such an approach the initial condition
needs to be assumed absolutely continuous with a square integrable weak
derivative. In addition, the stability results hold for initial conditions that
are evaluated based on the magnitude of both the initial condition and its
time-derivative. The main objective of this paper is to show that, for certain
classes of time-delay systems, the aforementioned stability results can
actually be extended to initial conditions that are only assumed continuous and
that are evaluated in uniform norm.

25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin