On the Weierstraß form of infinite-dimensional differential algebraic equations
The solvability for infinite-dimensional differential algebraic equations possessing a resolvent index and a Weierstraß 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.
Authors
- Kirsten Morris (ORCID: https://orcid.org/0000-0003-1311-9230)
- Birgit Jacob (ORCID: https://orcid.org/0000-0002-8775-4424)
- Mehmet Erbay (ORCID: https://orcid.org/0009-0007-1214-2929)
Institutions
- University of Waterloo (CA)
- University of Wuppertal (DE)
Publication Details
- Journal
- Journal of Evolution Equations
- Published
- 2024-09-02
- DOI
- https://doi.org/10.1007/s00028-024-01003-3
- Citations
- 3
- Primary Topic
- Control and Stability of Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.98
Funders
- Bergische Universität Wuppertal
- Natural Sciences and Engineering Research Council of Canada