at Google ScholarTitle 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 |