Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended balancing of continuous LTI systems: a structure-preserving
  approach   In this paper, we treat extended balancing for continuous-time linear
time-invariant systems, and we address the problem of structure-preserving
model reduction of the subclass of port-Hamiltonian systems. We establish
sufficient conditions to ensure that the reduced-order model preserves a
port-Hamiltonian structure. Moreover, we show that the use of extended Gramians
can be exploited to get a small error bound and, possibly, to preserve a
physical interpretation for the reduced-order model.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat