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A distributional solution framework for linear hyperbolic PDEs coupled to switched DAEs Unpublished 2019. |
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:
A time-varying Gramian based model reduction approach for Linear Switched Systems Unpublished 2019. |
On stabilizability of switched Differential Algebraic Equations Unpublished 2019. |