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Port-Hamiltonian Systems: Approximations, Theory and Practice
The following four communities working on different aspects of port-Hamiltonian systems met at the Lorentz Center: (1) Operator theory; (2) Infinite-dimensional systems theory; (3) Modelling; and (4) Approximation.
The aim was threefold:
(1) To start new research within combinations of the different aspects, e.g., the combination of abstract operator with system theory is applied to solve coupling problems of port-Hamiltonian systems;
(2) To develop different approximation schemes associated with infinite-dimensional port-Hamiltonian systems, and to see how the different approximation schemes known from numerical analysis behave on open port Hamiltonian systems, i.e., systems with an input and output;
(3) To discuss open problems on infinite-dimensional port-Hamiltonian systems.
In order to reach these goals 4 keynote speakers delivered a tutorial lecture on their field: Athanasios Antoulas, Jussi Behrndt, Kirsten Morris, and Arjan van der Schaft. Furthermore there were 16 half-hour talks and on Tuesday there was an “open problem” session. All lectures where concerned with different aspects of port-Hamiltonian systems.
The schedule of the lectures provided substantial opportunity for discussion and joint work. The workshop has generated joint work between participants, which will be accessible in forthcoming publications. On Friday we ended with a follow-up of the "open problem" session. The general impression was that these open problems were substantial enough to serve as a theme around which a full research proposal could be build.
The feedback at the end of the workshop and afterwards at later encounters were very positive. Many participants told us that this workshop formed a source of inspiration for them, leading to new ideas.
We thank the participants for the high quality talks and for the pleasant and stimulating atmosphere with lively discussions. We thank the Lorentz Center staff for the excellent support.
Bigit Jacob (Wuppertal, Germany)
Hans Zwart (Enschede, Netherlands)