Literature by the same author
plus at Google Scholar

Bibliografische Daten exportieren
 

Infinite-dimensional port-Hamiltonian systems with a stationary interface

Title data

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

Project information

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

Project financing: Bundesministerium für Bildung und Forschung
Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: port-Hamiltonian systems; strongly continuous semigroups; stationary interface; exponential stability
Subject classification: Mathematics Subject Classification Code: 35L02 35Q93 37L15 35B35 93C05
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 09:40
Last Modified: 06 Mar 2025 09:40
URI: https://eref.uni-bayreuth.de/id/eprint/92645