Some notes on port-Hamiltonian systems on Banach spaces

Authors

Timo Reis

Abstract

We consider port-Hamiltonian systems from a functional analytic perspective. Dirac structures and Hamiltonians on Banach spaces are introduced, and an energy balance is proven. Further, we consider port-Hamiltonian systems on Banach manifolds, and we present some physical examples that fit into the presented theory.

Keywords

port-Hamiltonian systems; partial differential-algebraic systems; Dirac structures; Banach manifold; infinite dimensional systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 223–229
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.082
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Reis_2021,
  title={{Some notes on port-Hamiltonian systems on Banach spaces}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.082},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Reis, Timo},
  year={2021},
  pages={223--229}
}

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