Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14701
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Main Title: The Pantelides algorithm for delay differential-algebraic equations
Author(s): Ahrens, Ines
Unger, Benjamin
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15928
http://dx.doi.org/10.14279/depositonce-14701
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We present a graph-theoretical approach that can detect which equations of a delay differential-algebraic equation (DDAE) need to be differentiated or shifted to construct a solution of the DDAE. Our approach exploits the observation that differentiation and shifting are very similar from a structural point of view, which allows us to generalize the Pantelides algorithm for differential-algebraic equations to the DDAE setting. The primary tool for the extension is the introduction of equivalence classes in the graph of the DDAE, which also allows us to derive a necessary and sufficient criterion for the termination of the new algorithm.
Subject(s): delay differential-algebraic equation
structural analysis
Pantelides algorithm
Issue Date: 13-Jan-2020
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
65L80 Methods for differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2020, 02
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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