Differential-algebraic systems with dissipative Hamiltonian structure
Optimization and Control
2023-02-10 v3 Differential Geometry
Dynamical Systems
Abstract
Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between the different representations are presented. Characterizations are also derived when a general DAE system can be transformed into one of these structured representations. Approaches for computing the structural information and the described transformations are derived that can be directly implemented as numerical methods. The results are demonstrated with a large number of examples.
Cite
@article{arxiv.2208.02737,
title = {Differential-algebraic systems with dissipative Hamiltonian structure},
author = {V. Mehrmann and A. J. van der Schaft},
journal= {arXiv preprint arXiv:2208.02737},
year = {2023}
}