Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence analysis of particle swarm optimization using stochastic
  Lyapunov functions and quantifier elimination   This paper adds to the discussion about theoretical aspects of particle swarm
stability by proposing to employ stochastic Lyapunov functions and to determine
the convergence set by quantifier elimination. We present a computational
procedure and show that this approach leads to reevaluation and extension of
previously know stability regions for PSO using a Lyapunov approach under
stagnation assumptions.

10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol