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Main Title: Condensed Forms for linear Port-Hamiltonian Descriptor Systems
Author(s): Scholz, Lena
Type: Research Paper
Abstract: Motivated by the structure which arises in the port-Hamiltonian formulation of constraint dynamical systems, we derive structure preserving condensed forms for skew-adjoint differential-algebraic equations (DAEs). Moreover, structure preserving condensed forms under constant rank assumptions for linear port-Hamiltonian differential-algebraic equations are developed. These condensed forms allow us to further analyze the properties of port-Hamiltonian DAEs and to study e.g. existence and uniqueness of solutions. As examples the equations of motion of linear multibody systems and of linear electrical circuit equations are considered.
Subject(s): port-Hamiltonian system
descriptor system
differential-algebraic equation
system transformation
strangeness index
skew-adjoint pair of matrix functions
condensed form
Issue Date: 24-Aug-2017
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34H05 Control problems
93A30 Mathematical modeling
93B11 System structure simplification
93B17 Transformations
93C05 Linear systems
93C15 Systems governed by ordinary differential equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2017, 09
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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