Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14664
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Main Title: Port-Hamiltonian descriptor systems
Author(s): Beattie, Christopher
Mehrmann, Volker
Xu, Hongguo
Zwart, Hans
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15891
http://dx.doi.org/10.14279/depositonce-14664
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: The modeling framework of port-Hamiltonian systems is systematically extended to constrained dynamical systems (descriptor systems, differential-algebraic equations). A new algebraically and geometrically defined system structure is derived. It is shown that this structure is invariant under equivalence transformations, and that it is adequate also for the modeling of high-index descriptor systems. The regularization procedure for descriptor systems to make them suitable for simulation and control is modified to deal with the port-Hamiltonian structure. The relevance of the new structure is demonstrated with several examples.
Subject(s): port-Hamiltonian system
descriptor system
differential-algebraic equation
passivity
stability
system transformation
differentiation-index
strangeness-index
skew-adjoint operator
Issue Date: 29-May-2017
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93A30 Mathematical modeling
93B11 System structure simplification
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2017, 06
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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