Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637740 | Journal of Computational and Applied Mathematics | 2017 | 16 Pages |
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 selected examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Martin Rasmussen, Janosch Rieger, Kevin N. Webster,