Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral Quadratic Constraints on Linear Infinite-dimensional Systems
  for Robust Stability Analysis   This paper proposes a framework to assess the stability of an ordinary
differential equation which is coupled to a 1D-partial differential equation
(PDE). The stability theorem is based on a new result on Integral Quadratic
Constraints (IQCs) and expressed in terms of two linear matrix inequalities
with a moderate computational burden. The IQCs are not generated using
dissipation inequalities involving the whole state of an infinite-dimensional
system, but by using projection coefficients of the infinite-dimensional state.
This permits to generalize our robustness result to many other PDEs. The
proposed methodology is applied to a time-delay system and numerical results
comparable to those in the literature are obtained.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex