Approximation of reachable sets using optimal control and support vector machines
Optimization and Control
2014-12-11 v1
Abstract
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.
Cite
@article{arxiv.1412.3302,
title = {Approximation of reachable sets using optimal control and support vector machines},
author = {Martin Rasmussen and Janosch Rieger and Kevin Webster},
journal= {arXiv preprint arXiv:1412.3302},
year = {2014}
}