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arXiv · 1908.01514

The Pantelides algorithm for delay differential-algebraic equations

Ines Ahrens·Benjamin Unger
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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.

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Ines Ahrens, Benjamin Unger. 2020-03-30. The Pantelides algorithm for delay differential-algebraic equations. https://doi.org/10.1093/imatrm%2Ftnaa003

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