Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Identifying Parameter Space for Robust Stability in Nonlinear Networks:
  A Microgrid Application   As modern engineering systems grow in complexity, attitudes toward a modular
design approach become increasingly more favorable. A key challenge to a
modular design approach is the certification of robust stability under
uncertainties in the rest of the network. In this paper, we consider the
problem of identifying the parametric region, which guarantees stability of the
connected module in the robust sense under uncertainties. We derive the
conditions under which the robust stability of the connected module is
guaranteed for some values of the design parameters, and present a
sum-of-squares (SOS) optimization-based algorithm to identify such a parametric
region for polynomial systems. Using the example of an inverter-based
microgrid, we show how this parametric region changes with variations in the
level of uncertainties in the network.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex