The Pantelides algorithm for delay differential-algebraic equations-Reference-Cited by-同舟云学术

The Pantelides algorithm for delay differential-algebraic equations

Published:2020-04-01 Issue:1 Volume:4 Page:
ISSN:2398-4945
Container-title:Transactions of Mathematics and Its Applications
language:en
Short-container-title:

Author:

Ahrens Ines¹,Unger Benjamin¹

Affiliation:

1. Institut für Mathematik, Technische Universität Berlin, Str. des 17. Juni 136, 10623 Berlin, Federal Republic of Germany

Abstract

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.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Oxford University Press (OUP)

Link

http://academic.oup.com/imatrm/article-pdf/4/1/tnaa003/33805171/tnaa003.pdf

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