Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912728021467136 |
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| author | Ehrhardt, Matthias Günther, Michael Ševčovič, Daniel |
| author_facet | Ehrhardt, Matthias Günther, Michael Ševčovič, Daniel |
| contents | The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly related inputs and outputs, their interconnection remains port-Hamiltonian. This paper introduces a systematic method for transforming coupled port Hamiltonian ordinary differential equations systems (pHODE) into a single monolithic formulation, and for decomposing a monolithic system into weakly coupled subsystems. The monolithic representation ensures stability and structural integrity, whereas the decoupled form enables efficient distributed simulation via operator splitting or dynamic iteration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems Ehrhardt, Matthias Günther, Michael Ševčovič, Daniel Dynamical Systems Computational Physics 34Cxx, 37N30, 37J06 The port-Hamiltonian framework is a structure-preserving modeling approach that preserves key physical properties such as energy conservation and dissipation. When subsystems are modeled as port-Hamiltonian systems (pHS) with linearly related inputs and outputs, their interconnection remains port-Hamiltonian. This paper introduces a systematic method for transforming coupled port Hamiltonian ordinary differential equations systems (pHODE) into a single monolithic formulation, and for decomposing a monolithic system into weakly coupled subsystems. The monolithic representation ensures stability and structural integrity, whereas the decoupled form enables efficient distributed simulation via operator splitting or dynamic iteration. |
| title | Structure-Preserving Coupling and Decoupling of Port-Hamiltonian Systems |
| topic | Dynamical Systems Computational Physics 34Cxx, 37N30, 37J06 |
| url | https://arxiv.org/abs/2511.20150 |