A. Mironchenko. Port Hamiltonian systems with interface.

Speaker:
Andrii Mironchenko (University of Klagenfurt, Austria)
Title:
Port-Hamiltonian systems with an interface
Abstract:
We consider two systems of two conservation laws that are defined on complementary 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.
We illustrate the results on an example of two coupled transmission lines.
In the journal version of the paper one can find also an example of two acoustic waveguides coupled by an interface consisting of some membrane.
Finally, we show the challenges appearing in the analysis of port-Hamiltonian systems with moving interfaces.
This is a joint work with Alexander Kilian, Bernhard Maschke, Fabian Wirth.
Slides:
mironchenko.com... Port-Hamiltonian systems with interface.pdf
***** Based on Papers *******
Kilian, Maschke, Mironchenko, Wirth. Infinite-dimensional port-Hamiltonian systems with a stationary
interface. ArXiV preprint, 2023.
Kilian, Maschke, Mironchenko, Wirth. A case study of port-Hamiltonian systems with a moving
interface. L-CSS, 2023.
******* Biography *******
Andrii Mironchenko was born in 1986 in Odesa, Ukraine. He received the Ph.D. degree in mathematics from the University of Bremen, Germany, and the habilitation degree from the University of Passau, Germany. He was a Postdoctoral Fellow of Japan Society for Promotion of Science (JSPS) with the Kyushu Institute of Technology, Japan (2013-2014). Since 2023, he is with the Department of Mathematics, University of Klagenfurt, Klagenfurt, Austria.
Dr. Mironchenko is the author of the monograph „Input-to-State Stability“ (Springer, 2023) and of 70 journal and conference papers on control theory and applied mathematics.
A. Mironchenko serves as an Associate Editor in Systems & Control Letters and is a co-founder and co-organizer of the biennial Workshop series “Stability and Control of Infinite-Dimensional Systems” (SCINDIS, 2016 - now). He is a Senior Member of IEEE.
He is a recipient of 2023 IEEE CSS George S. Axelby Outstanding Paper Award.
His research interests include stability theory, nonlinear systems theory, distributed parameter systems, hybrid systems, and applications of control theory to biological systems and distributed control.
Venue & Date:
Talk at the 62nd Conference on Decision and Control (CDC), Singapore, 2023 (13 Dec 2023).