Continuous differentiability of the signum function and Newton's method for bang-bang control
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918150631587840 |
|---|---|
| author | Wachsmuth, Daniel Wachsmuth, Gerd |
| author_facet | Wachsmuth, Daniel Wachsmuth, Gerd |
| contents | We investigate bang-bang control problems and the possibility to apply Newton's method to solve such kind of problems numerically. To this end, we show that the signum function is Fréchet differentiable between appropriate function spaces. Numerical experiments show the applicability of the resulting method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24829 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuous differentiability of the signum function and Newton's method for bang-bang control Wachsmuth, Daniel Wachsmuth, Gerd Optimization and Control We investigate bang-bang control problems and the possibility to apply Newton's method to solve such kind of problems numerically. To this end, we show that the signum function is Fréchet differentiable between appropriate function spaces. Numerical experiments show the applicability of the resulting method. |
| title | Continuous differentiability of the signum function and Newton's method for bang-bang control |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2509.24829 |