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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Bibliographic Details
Main Authors Cherifi, Karim, Gernandt, Hannes, Hinsen, Dorothea, Mehrmann, Volker
Format Journal Article
LanguageEnglish
Published 03.07.2023
Subjects
Mathematics - Dynamical Systems
Mathematics - Optimization and Control
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Summary: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.
DOI:10.48550/arxiv.2307.01351