Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913194719576064 |
|---|---|
| author | Kurula, Mikael |
| author_facet | Kurula, Mikael |
| contents | Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and well-posedness of time-varying linear port-Hamil\-to\-nian systems with boundary control and boundary observation. In this paper, we complement their results by discussing the solvability of linear, infinite-dimensional time-varying port-Hamiltonian systems not necessarily of boundary control type. The theory is illustrated on a system with a delay component in the state dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00056 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems Kurula, Mikael Optimization and Control Analysis of PDEs Dynamical Systems Thirty years after the introduction of port-Hamiltonian systems, interest in this system class still remains high among systems and control researchers. Very recently, Jacob and Laasri obtained strong results on the solvability and well-posedness of time-varying linear port-Hamil\-to\-nian systems with boundary control and boundary observation. In this paper, we complement their results by discussing the solvability of linear, infinite-dimensional time-varying port-Hamiltonian systems not necessarily of boundary control type. The theory is illustrated on a system with a delay component in the state dynamics. |
| title | Solvability of time-varying infinite-dimensional linear port-Hamiltonian systems |
| topic | Optimization and Control Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2210.00056 |