English

A geometric framework for discrete time port-Hamiltonian systems

Optimization and Control 2023-08-21 v2 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.2307.01351,
  title  = {A geometric framework for discrete time port-Hamiltonian systems},
  author = {Karim Cherifi and Hannes Gernandt and Dorothea Hinsen and Volker Mehrmann},
  journal= {arXiv preprint arXiv:2307.01351},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2301.06731

R2 v1 2026-06-28T11:21:15.976Z