Condensed Forms for Linear Port-Hamiltonian Descriptor Systems
Authors
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}
}