Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contraction Analysis of Nonlinear DAE Systems   This paper studies the contraction properties of nonlinear
differential-algebraic equation (DAE) systems. Specifically we develop scalable
techniques for constructing the attraction regions associated with a particular
stable equilibrium, by establishing the relation between the contraction rates
of the original systems and the corresponding virtual extended systems. We show
that for a contracting DAE system, the reduced system always contracts faster
than the extended ones; furthermore, there always exists an extension with
contraction rate arbitrarily close to that of the original system. The proposed
construction technique is illustrated with a power system example in the
context of transient stability assessment.

30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th