Data-driven stabilization of continuous-time systems with noisy input-output data
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908808027045888 |
|---|---|
| author | Wakaiki, Masashi |
| author_facet | Wakaiki, Masashi |
| contents | We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next, combining this characterization with behavioral theory, we derive a necessary and sufficient condition for the noisy data to be informative for quadratic stabilization. This condition is formulated as linear matrix inequalities, whose solution yields a stabilizing controller. Finally, we characterize data informativity for system identification in the noise-free setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02992 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Data-driven stabilization of continuous-time systems with noisy input-output data Wakaiki, Masashi Optimization and Control Systems and Control We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next, combining this characterization with behavioral theory, we derive a necessary and sufficient condition for the noisy data to be informative for quadratic stabilization. This condition is formulated as linear matrix inequalities, whose solution yields a stabilizing controller. Finally, we characterize data informativity for system identification in the noise-free setting. |
| title | Data-driven stabilization of continuous-time systems with noisy input-output data |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2602.02992 |