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

Title data

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

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Project information

Project title:
Project's official title
Project's id
BMBF grant
16ME0619
Lyapunov theory meets boundary control systems
MI 1886/2-2

Project financing: Bundesministerium für Bildung und Forschung
Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: Honored by 2023 IEEE TC DPS Outstanding Student Paper Prize.
Keywords: port-Hamiltonian systems; strongly continuous semigroups; linear systems; distributed parameter systems; moving interface; Kato-stability
Subject classification: Mathematics Subject Classification Code: 93B28 (35L65 47D06)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 06 Mar 2025 10:01
Last Modified: 06 Mar 2025 10:01
URI: https://eref.uni-bayreuth.de/id/eprint/92650