Infinite-dimensional port-Hamiltonian systems with a stationary interface

Titelangaben

Kilian, Alexander ; Maschke, Bernhard ; Mironchenko, Andrii ; Wirth, Fabian:
Infinite-dimensional port-Hamiltonian systems with a stationary interface.
In: European Journal of Control. Bd. 82 (2025) . - 101190.
ISSN 1435-5671
DOI: https://doi.org/10.1016/j.ejcon.2025.101190

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Abstract

We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated C₀-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.