A geometric framework for discrete time port-Hamiltonian systems
Port-Hamiltonian systems provide an energy-based formulation with a model class that is closed under structure preserving interconnection. For continuous-time systems these interconnections are constructed by geometric objects called Dirac structures. In this paper, we derive this geometric formulat...
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| Main Authors | , , , |
|---|---|
| Format | Journal Article |
| Language | English |
| Published |
03.07.2023
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| Abstract | Port-Hamiltonian systems provide an energy-based formulation with a model
class that is closed under structure preserving interconnection.
For continuous-time systems these interconnections are constructed by
geometric objects called Dirac structures. In this paper, we derive this
geometric formulation and the interconnection properties for scattering passive
discrete-time port-Hamiltonian systems. |
|---|---|
| AbstractList | Port-Hamiltonian systems provide an energy-based formulation with a model
class that is closed under structure preserving interconnection.
For continuous-time systems these interconnections are constructed by
geometric objects called Dirac structures. In this paper, we derive this
geometric formulation and the interconnection properties for scattering passive
discrete-time port-Hamiltonian systems. |
| Author | Mehrmann, Volker Cherifi, Karim Gernandt, Hannes Hinsen, Dorothea |
| Author_xml | – sequence: 1 givenname: Karim surname: Cherifi fullname: Cherifi, Karim – sequence: 2 givenname: Hannes surname: Gernandt fullname: Gernandt, Hannes – sequence: 3 givenname: Dorothea surname: Hinsen fullname: Hinsen, Dorothea – sequence: 4 givenname: Volker surname: Mehrmann fullname: Mehrmann, Volker |
| BackLink | https://doi.org/10.48550/arXiv.2307.01351$$DView paper in arXiv |
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| Snippet | Port-Hamiltonian systems provide an energy-based formulation with a model
class that is closed under structure preserving interconnection.
For continuous-time... |
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| SubjectTerms | Mathematics - Dynamical Systems Mathematics - Optimization and Control |
| Title | A geometric framework for discrete time port-Hamiltonian systems |
| URI | https://arxiv.org/abs/2307.01351 |
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