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arXiv · 2402.17560

On the Weierstra{\ss} form of infinite dimensional differential algebraic equations

Mehmet Erbay·Birgit Jacob·Kirsten Morris
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Abstract

The solvability for infinite dimensional differential algebraic equations possessing a resolvent index and a Weierstra{\ss} form is studied. In particular, the concept of integrated semigroups is used to determine a subset on which solutions exist and are unique. This information is later used for a important class of systems, namely, port-Hamiltonian differential algebraic equations.

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Mehmet Erbay, Birgit Jacob, Kirsten Morris. 2024-02-27. On the Weierstra{\ss} form of infinite dimensional differential algebraic equations. https://arxiv.org/abs/2402.17560

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