The slides of my CDC talk “The one-step-map for switched singular systems in discrete-time” are now available on my Talks site.
Paper on PDEs coupled to swDAEs submitted
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”:
A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs Journal Article
In: Mathematics of Control, Signals, and Systems (MCSS), vol. 32, pp. 455-487, 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.
Two submission to IFAC WC ’20
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.
Talk at Cambridge
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.
Two submission two ECC’20
We have submitted the following two papers to the ECC’20 taking place in St. Petersburg, Russia:
Impulse controllability of switched differential-algebraic equations Proceedings Article
In: Proc. European Control Conference (ECC 2020), pp. 1561-1566, Saint Petersburg, Russia, 2020.
Utility of edge-wise funnel coupling for asymptotically solving distributed consensus optimization Proceedings Article
In: Proc. European Control Conference (ECC 2020), pp. 911-916, Saint Petersburg, Russia, 2020.
Slides of my Siegmundsburg-Workshop online
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.
Final versions of CDC papers uploaded
I have uploaded the final version of my three accepted CDC papers
Asymptotic tracking via funnel control Proceedings Article
In: Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 4228-4233, Nice, France, 2019.
Delay regularity of differential-algebraic equations Proceedings Article
In: 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 Proceedings Article
In: Proc. 58th IEEE Conf. Decision Control (CDC) 2019, pp. 605-610, Nice, France, 2019.
Journal paper on funnel synchronization submitted
In cooperation with colleagues from Seoul National University we have submitted the following paper
Synchronization with prescribed transient behavior: Heterogeneous multi-agent systems under funnel coupling Journal Article
In: Automatica, vol. 141, no. 110276, pp. 13, 2022, (open access).
Already in our 2015 CDC paper
A preliminary result on synchronization of heterogeneous agents via funnel control Proceedings Article
In: Proc. 54th IEEE Conf. Decis. Control, Osaka, Japan, pp. 2229–2234, 2015.
Slides of my Paderborn talk online
Today I gave a talk about switched DAEs in the Mathematisches Kolloquium at the University of Paderborn, the slides can be found in my Talks page. Thanks in particular to Jun.-Prof. Thomas Berger for his kind hospitality.