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”:
Mathematics of Control, Signals, and Systems (MCSS), 2020, (Open Access).
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:
IFAC-PapersOnLine 53-2, pp. 4304-4309, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).
IFAC PapersOnline 53-2, pp. 5629-5634, 2020, (Proc. IFAC World Congress 2020, Berlin, Germany. Open access.).
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:
Proc. European Control Conference (ECC 2020), pp. 1561-1566, Saint Petersburg, Russia, 2020.
Proc. European Control Conference (ECC 2020), pp. 911-916, Saint Petersburg, Russia, 2020.
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.
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
2021, (submitted for publication).
Already in our 2015 CDC paper
Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 2229–2234, 2015.