My short paper about asymptotic funnel control (see below) was one of the most downloaded papers of the PAMM in 2019!
I have created a project page for my vidi-project “Analays and Control of switched DAEs” which provides some details on the project, in particular, a list of related publications.
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):
[Update March 2021] Unfortunately the MTNS was cancelled, which means that the extended abstracts will not be published on the conference webpage (but I will keep them online under Miscellaneous). The full paper coauthored with Yahao Chen will be published in the proceedings.
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:
On stabilizability of switched differential algebraic equations Proceedings Article
In: IFAC-PapersOnLine 53-2, pp. 4304-4309, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).
A time-varying Gramian based model reduction approach for Linear Switched Systems Proceedings Article
In: IFAC PapersOnline 53-2, pp. 5629-5634, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).
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.