Authors

Lena Scholz

Abstract

Motivated by the structure which arises in the port-Hamiltonian formulation of constraint dynamical systems, structure preserving condensed forms for skew-adjoint differential-algebraic equations (DAEs) are derived. Moreover, structure preserving condensed forms under constant rank assumptions for linear port-Hamiltonian differential-algebraic equations are developed. These condensed forms allow for the further analysis of the properties of port-Hamiltonian DAEs and to study, e.g., existence and uniqueness of solutions or to determine the index. It can be shown that under certain conditions for regular port-Hamiltonian DAEs the strangeness index is bounded by \( \mu\leq1 \).

Citation

  • Journal: The Electronic Journal of Linear Algebra
  • Year: 2019
  • Volume: 35
  • Issue:
  • Pages: 65–89
  • Publisher: University of Wyoming Libraries
  • DOI: 10.13001/1081-3810.3638

BibTeX

@article{Scholz_2019,
  title={{Condensed Forms for Linear Port-Hamiltonian Descriptor Systems}},
  volume={35},
  ISSN={1081-3810},
  DOI={10.13001/1081-3810.3638},
  journal={The Electronic Journal of Linear Algebra},
  publisher={University of Wyoming Libraries},
  author={Scholz, Lena},
  year={2019},
  pages={65--89}
}

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