The differential Sylvester equation and its symmetric version, the differential Lyapunov
equation, appear in different fields of applied mathematics like control theory, system theory …

The control of general nonlinear systems is a challenging task in particular for large-scale
models as they occur in the semi-discretization of partial differential equations (PDEs) of …

We consider mechanical systems where the dynamics are partially constrained to
prescribed trajectories. An example for such a system is a building crane with a load and the …

We discuss a Krylov subspace projection method for model reduction of a special class of
quadratic‐bilinear descriptor systems. The goal is to extend the two‐sided moment …

The differential Riccati equation appears in different fields of applied mathematics like
control and system theory. Recently, Galerkin methods based on Krylov subspaces were …

This thesis addresses several aspects regarding modelling, analysis and numerical
simulation of gas networks. Hereby, our focus lies on (partial) differential-algebraic …

This thesis is devoted to the application and analysis of time integration schemes for
differential-algebraic equations (DAEs) stated in (abstract) Banach spaces. The existence …

For the modeling and numerical approximation of problems with time-dependent Dirichlet
boundary conditions, one can call on several consistent and inconsistent approaches. We …

We are interested in a convergent numerical discretization scheme for nonlinear differential
algebraic equations (DAEs) coupled with elliptic constraints. The dynamics of flow networks …

In this thesis, we examine important numerical aspects of a Riccati-based feedback
stabilization approach in order to stabilize incompressible flow problems. Various transport …