Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model Predictive Control Tailored to Epidemic Models   We propose a model predictive control (MPC) approach for minimising the
social distancing and quarantine measures during a pandemic while maintaining a
hard infection cap. To this end, we study the admissible and the maximal robust
positively invariant set (MRPI) of the standard SEIR compartmental model with
control inputs. Exploiting the fact that in the MRPI all restrictions can be
lifted without violating the infection cap, we choose a suitable subset of the
MRPI to define terminal constraints in our MPC routine and show that the number
of infected people decays exponentially within this set. Furthermore, under
mild assumptions we prove existence of a uniform bound on the time required to
reach this terminal region (without violating the infection cap) starting in
the admissible set. The findings are substantiated based on a numerical case
study.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat