Rapid stabilizability of infinite-dimensional control systems with time delays
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917419552866304 |
|---|---|
| author | Ma, Yaxing Wang, Lijuan Yu, Huaiqiang |
| author_facet | Ma, Yaxing Wang, Lijuan Yu, Huaiqiang |
| contents | In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay coefficient is constant, we establish two main results: (i) the presence of a time-delay term does not affect the rapid stabilizability of the control system, that is, this property depends only on the state and control operators; (ii) static feedback is sufficient to achieve rapid stabilization of the system. Applications are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22819 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rapid stabilizability of infinite-dimensional control systems with time delays Ma, Yaxing Wang, Lijuan Yu, Huaiqiang Optimization and Control 93B52, 93C25, 93C43, 93D15 In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with constant delays. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay coefficient is constant, we establish two main results: (i) the presence of a time-delay term does not affect the rapid stabilizability of the control system, that is, this property depends only on the state and control operators; (ii) static feedback is sufficient to achieve rapid stabilization of the system. Applications are also presented. |
| title | Rapid stabilizability of infinite-dimensional control systems with time delays |
| topic | Optimization and Control 93B52, 93C25, 93C43, 93D15 |
| url | https://arxiv.org/abs/2601.22819 |