On the complexity of bounded time and precision reachability for piecewise affine systems
Computational Complexity
2017-01-18 v3 Systems and Control
Abstract
Reachability for piecewise affine systems is known to be undecidable, starting from dimension . In this paper we investigate the exact complexity of several decidable variants of reachability and control questions for piecewise affine systems. We show in particular that the region to region bounded time versions leads to -complete or co--complete problems, starting from dimension . We also prove that a bounded precision version leads to -complete problems.
Keywords
Cite
@article{arxiv.1601.05353,
title = {On the complexity of bounded time and precision reachability for piecewise affine systems},
author = {Hugo Bazille and Olivier Bournez and Walid Gomaa and Amaury Pouly},
journal= {arXiv preprint arXiv:1601.05353},
year = {2017}
}