Towards optimal space-time discretization for reachable sets of nonlinear control systems
Numerical Analysis
2023-07-24 v2 Numerical Analysis
Abstract
Reachable sets of nonlinear control systems can in general only be approximated numerically, and these approximations are typically very expensive to compute. In this paper, we explore a strategy for choosing the temporal and spatial discretizations of Euler's method for reachable set computation in a non-uniform way to improve the performance of the method.
Cite
@article{arxiv.2305.12727,
title = {Towards optimal space-time discretization for reachable sets of nonlinear control systems},
author = {Janosch Rieger and Kyria Wawryk},
journal= {arXiv preprint arXiv:2305.12727},
year = {2023}
}