Duality of Geometric Tests for Forward-Flatness
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914213225562112 |
|---|---|
| author | Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus |
| author_facet | Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus |
| contents | Recently it has been shown that the property of forward-flatness for discrete-time systems, which is a generalization of static feedback linearizability and a special case of a more general concept of flatness, can be checked by two different geometric tests. One is based on unique sequences of involutive distributions, while the other is based on a unique sequence of integrable codistributions. In this paper, the relation between these sequences is discussed and it is shown that the tests are in fact dual. The presented results are illustrated by an academic example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality of Geometric Tests for Forward-Flatness Schrotshamer, Johannes Kolar, Bernd Schöberl, Markus Optimization and Control Differential Geometry Dynamical Systems Recently it has been shown that the property of forward-flatness for discrete-time systems, which is a generalization of static feedback linearizability and a special case of a more general concept of flatness, can be checked by two different geometric tests. One is based on unique sequences of involutive distributions, while the other is based on a unique sequence of integrable codistributions. In this paper, the relation between these sequences is discussed and it is shown that the tests are in fact dual. The presented results are illustrated by an academic example. |
| title | Duality of Geometric Tests for Forward-Flatness |
| topic | Optimization and Control Differential Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2408.11143 |