Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synthesizing Robust Domains of Attraction for State-Constrained
  Perturbed Polynomial Systems   In this paper we propose a novel semi-definite programming based method to
compute robust domains of attraction for state-constrained perturbed polynomial
systems. A robust domain of attraction is a set of states such that every
trajectory starting from it will approach an equilibrium while never violating
a specified state constraint, regardless of the actual perturbation. The
semi-definite program is constructed by relaxing a generalized Zubov's
equation. The existence of solutions to the constructed semi-definite program
is guaranteed and there exists a sequence of solutions such that their strict
one sub-level sets inner-approximate the interior of the maximal robust domain
of attraction in measure under appropriate assumptions. Some illustrative
examples demonstrate the performance of our method.

2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph