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

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 m...

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Bibliographic Details
Published inIEEE control systems letters Vol. 7; p. 1
Main Authors Kilian, Alexander, Maschke, Bernhard, Mironchenko, Andrii, Wirth, Fabian
Format Journal Article
LanguageEnglish
Published IEEE 01.01.2023
Subjects
Color
Couplings
Differential operators
distributed parameter systems
Energy resolution
Hilbert space
Kato-stability
linear systems
Mathematical models
moving interface
port-Hamiltonian systems
strongly continuous semigroups
Symmetric matrices
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Summary: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.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2023.3272171