Relationships Between Necessary Conditions for Feedback Stabilizability
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910473661710336 |
|---|---|
| author | Kvalheim, Matthew D. |
| author_facet | Kvalheim, Matthew D. |
| contents | The author's extensions of Brockett's and Coron's necessary conditions for stabilizability are shown to be independent in the fiber bundle picture of control, but the latter is shown to be stronger in the vector bundle picture if the state space is orientable and the Cech-Euler characteristic of the set to be stabilized is nonzero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16752 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relationships Between Necessary Conditions for Feedback Stabilizability Kvalheim, Matthew D. Optimization and Control Systems and Control Algebraic Topology Differential Geometry 93D20, 37C70, 34D45, 57R19, 55R25 The author's extensions of Brockett's and Coron's necessary conditions for stabilizability are shown to be independent in the fiber bundle picture of control, but the latter is shown to be stronger in the vector bundle picture if the state space is orientable and the Cech-Euler characteristic of the set to be stabilized is nonzero. |
| title | Relationships Between Necessary Conditions for Feedback Stabilizability |
| topic | Optimization and Control Systems and Control Algebraic Topology Differential Geometry 93D20, 37C70, 34D45, 57R19, 55R25 |
| url | https://arxiv.org/abs/2312.16752 |