Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Willems' fundamental lemma for linear descriptor systems and its use for
  data-driven output-feedback MPC   In this paper we investigate data-driven predictive control of discrete-time
linear descriptor systems. Specifically, we give a tailored variant of Willems'
fundamental lemma, which shows that for descriptor systems the non-parametric
modelling via a Hankel matrix requires less data compared to linear
time-invariant systems without algebraic constraints. Moreover, we use this
description to propose a data-driven framework for optimal control and
predictive control of discrete-time linear descriptor systems. For the latter,
we provide a sufficient stability condition for receding-horizon control before
we illustrate our findings with an example.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg