On Asymptotic and Finite-Time Stabilization of Bilinear Systems
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910127549841408 |
|---|---|
| author | Ouzahra, Mohamed |
| author_facet | Ouzahra, Mohamed |
| contents | This manuscript addresses the analysis and design of feedback laws for the stabilization of bilinear control systems in infinite-dimensional spaces. It first examines weak, strong, and polynomial stabilization within a Hilbert space framework, emphasizing the role of observability conditions. It then studies exponential stabilization in Banach spaces, highlighting the additional challenges arising from the lack of a Hilbertian structure. Finally, it introduces finite-time stabilization, presenting recent results and open problems within the broader context of nonlinear infinite-dimensional control theory. Several applications are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12065 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Asymptotic and Finite-Time Stabilization of Bilinear Systems Ouzahra, Mohamed Optimization and Control Dynamical Systems 93D15, 93D20, 93D23, 93D05, 93D40, 93B07 This manuscript addresses the analysis and design of feedback laws for the stabilization of bilinear control systems in infinite-dimensional spaces. It first examines weak, strong, and polynomial stabilization within a Hilbert space framework, emphasizing the role of observability conditions. It then studies exponential stabilization in Banach spaces, highlighting the additional challenges arising from the lack of a Hilbertian structure. Finally, it introduces finite-time stabilization, presenting recent results and open problems within the broader context of nonlinear infinite-dimensional control theory. Several applications are also discussed. |
| title | On Asymptotic and Finite-Time Stabilization of Bilinear Systems |
| topic | Optimization and Control Dynamical Systems 93D15, 93D20, 93D23, 93D05, 93D40, 93B07 |
| url | https://arxiv.org/abs/2604.12065 |