Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximation of reachable sets using optimal control and support vector
  machines   We propose and discuss a new computational method for the numerical
approximation of reachable sets for nonlinear control systems. It is based on
the support vector machine algorithm and represents the set approximation as a
sublevel set of a function chosen in a reproducing kernel Hilbert space. In
some sense, the method can be considered as an extension to the optimal control
algorithm approach recently developed by Baier, Gerdts and Xausa. The
convergence of the method is illustrated numerically for several examples.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph