Port-Hamiltonian representations of positive real descriptor systems

Authors

Delin Chu, Volker Mehrmann

Abstract

The relationship between port-Hamiltonian and positive real linear time-invariant descriptor systems is investigated. It is well-known that port-Hamiltonian systems are positive real, but the converse implication does not always hold. In Cherifi et al. (2023) sufficient conditions for the converse are presented. We refine these conditions and present for a completely controllable, completely observable and positive real descriptor system a necessary and sufficient condition as well as an explicit method to compute a port-Hamiltonian representation of a general positive real linear time-invariant descriptor system.

Keywords

Port-Hamiltonian descriptor system; Positive real descriptor system; Port-Hamiltonian representation; Controllability; Observability

Citation

• Journal: Automatica
• Year: 2025
• Volume: 180
• Issue:
• Pages: 112456
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2025.112456

BibTeX

@article{Chu_2025,
  title={{Port-Hamiltonian representations of positive real descriptor systems}},
  volume={180},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2025.112456},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Chu, Delin and Mehrmann, Volker},
  year={2025},
  pages={112456}
}

Download the bib file

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