Remarks on the geometric structure of port-Hamiltonian systems
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917683075743744 |
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| author | Kirchhoff, Jonas Maschke, Bernhard |
| author_facet | Kirchhoff, Jonas Maschke, Bernhard |
| contents | We study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian systems, the geometric structure of port-Hamiltonian systems must be "in between" the geometric structures of the latter systems. These are Courant algebroids; and hence the geometric structures should be related by Courant algebroid morphisms. Using this idea, we propose a definition of an intrinsic geometric structure and show that it is unique, if it exists. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_01036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Remarks on the geometric structure of port-Hamiltonian systems Kirchhoff, Jonas Maschke, Bernhard Mathematical Physics We study the geometric structure of port-Hamiltonian systems. Starting with the intuitive understanding that port-Hamiltonian systems are "in between" certain closed Hamiltonian systems, the geometric structure of port-Hamiltonian systems must be "in between" the geometric structures of the latter systems. These are Courant algebroids; and hence the geometric structures should be related by Courant algebroid morphisms. Using this idea, we propose a definition of an intrinsic geometric structure and show that it is unique, if it exists. |
| title | Remarks on the geometric structure of port-Hamiltonian systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.01036 |