A case study of port-Hamiltonian systems with a moving interface

Titelangaben

Kilian, Alexander ; Maschke, Bernhard ; Mironchenko, Andrii ; Wirth, Fabian:
A case study of port-Hamiltonian systems with a moving interface.
In: IEEE Control Systems Letters. Bd. 7 (2023) . - S. 1572-1577.
ISSN 2475-1456
DOI: https://doi.org/10.1109/LCSYS.2023.3272171

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Abstract

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and provide sufficient conditions for its Kato-stability. An example shows that these conditions are quite restrictive. The more general question under which conditions an evolution family is generated remains open.