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arXiv · 2301.08967

Infinite-dimensional port-Hamiltonian systems with a stationary interface

Alexander Kilian·Bernhard Maschke·Andrii Mironchenko·Fabian Wirth
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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 $C_0$-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.

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Alexander Kilian, Bernhard Maschke, Andrii Mironchenko, Fabian Wirth. 2023-01-21. Infinite-dimensional port-Hamiltonian systems with a stationary interface. https://arxiv.org/abs/2301.08967

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