Regularization of Port-Hamiltonian Descriptor Systems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908683311513600 |
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| author | Chu, Delin Mehrmann, Volker |
| author_facet | Chu, Delin Mehrmann, Volker |
| contents | We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one, and is still port-Hamiltonian with desired rank properties. All results are derived based on condensed forms, computations of these condensed form can be implemented using only orthogonal transformations and hence are numerically reliable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02715 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularization of Port-Hamiltonian Descriptor Systems Chu, Delin Mehrmann, Volker Optimization and Control Dynamical Systems 93B05, 93B40, 93B52, 65F35 We study the regularization problem for port-Hamiltonian descriptor systems by proportional and/or derivative output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one, and is still port-Hamiltonian with desired rank properties. All results are derived based on condensed forms, computations of these condensed form can be implemented using only orthogonal transformations and hence are numerically reliable. |
| title | Regularization of Port-Hamiltonian Descriptor Systems |
| topic | Optimization and Control Dynamical Systems 93B05, 93B40, 93B52, 65F35 |
| url | https://arxiv.org/abs/2509.02715 |