My name is Stephan Trenn and I am researcher in the area of applied mathematics, for more informations see the About Me page. You may also want to browse my publications, which can be filtered e.g. by keywords and coauthors. I also have profiles at Google Scholar, ResearchGate and ORCID.
Below, I will regularly post news related to my research.
Finally, my Erdös number (see also here) is 4.
(Eugene P. Ryan – Geoffrey R. Burton – George B. Purdy – Paul Erdös)
In responds to invitations from Rafal Goebel and Tim Hughes/Malcom Smith I have submitted the following two extended abstracts to the MTNS 2020:
[Update 04-02-2020] My postdoc Yahao Chen was able to finish a nice result about the index of nonlinear DAEs just on time to submit it also to the MTNS (as a full paper):
The slides of my CDC talk “The one-step-map for switched singular systems in discrete-time” are now available on my Talks site.
Finally we have published our key theoretical paper four our DFG-project “Coupling hyperbolic PDEs with switched DAEs: Analysis, numerics and application to blood flow models”:
In this paper, we provide a novel distributional solution framework to handle jumps and Dirac impulses on the boundaries of the domain of a hyperbolic PDE. It also includes a nice example of electrical power lines (modeled via the telegraph equation) with a switching transformer (modeled by a switched DAE). The simulations nicely show how a Dirac impulse (induced by a switch) is moving through time and space as predicted by the theory.
Together with my PhD-students we have prepared the following two submission to the IFAC World Congress 2020 to be held in Berlin next year:
Last week Thursday and Friday the workshop Energy-Open 2019 took place in Groningen and it was a very nice event with many interesting talks! I also gave a talk there, see my Talks page.
I am currently visiting the University of Cambridge, UK, to continue the work on funnel synchronization with Jin Gyu Lee, who is currently postdoc here. I was also invited to give a talk on Tuesday, the slides are now available on my Talks page.
We have submitted the following two papers to the ECC’20 taking place in St. Petersburg, Russia:
The slides of my talk “Decentralized optimization via funnel coupling” (joint work with Jin Gyu Lee (now Cambridge University, UK), Hyungbo Shim (Seoul National University, Korea) and Thomas Berger (U Paderborn, Germany)) given at the Siegmundsburg Workshop in Ilmenau are now available on my Talks site.
I have uploaded the final version of my three accepted CDC papers
Asymptotic tracking via funnel control Inproceedings
Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 4228-4233, Nice, France, 2019.
Delay regularity of differential-algebraic equations Inproceedings
Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 989-994, Nice, France, 2019.
The one-step-map for switched singular systems in discrete-time Inproceedings
Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 605-610, Nice, France, 2019.
In cooperation with colleagues from Seoul National University we have submitted the following paper
Already in our 2015 CDC paper
we proposed the idea of funnel synchronization and the simulations looked very promising, but at that time we were not able to prove the synchronization property and also were not able to characterize the emergent behavior. Jin Gyu Lee was able to find the right proof techniques which is now the corner stone of our new submission.