In this paper, we investigate a recently introduced approach for nonlinear model order
reduction based on generalized moment matching. Using basic tensor calculus, we propose …

In this article a boundary feedback stabilization approach for incompressible Navier--Stokes
flows is studied. One of the main difficulties encountered is the fact that after space …

In this thesis, we investigate the numerical solution of large-scale, algebraic matrix
equations. The focus lies on numerical methods based on the alternating directions implicit …

These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

In this paper, we discuss numerical methods for solving large-scale continuous-time
algebraic Riccati equations. These methods have been the focus of intensive research in …

Stabilizing a flow around an unstable equilibrium is a typical problem in flow control. Model-
based designed of modern controllers like LQR/LQG or H∞ compensators is often limited by …

A general family of iterative methods including a free parameter is derived and proved to be
convergent for computing matrix sign function under some restrictions on the parameter …

In this paper we consider the Pad'e family of iterations for computing the matrix sign function
and the Padé family of iterations for computing the matrix p‐sector function. We prove that all …

We consider optimal control-based boundary feedback stabilization of flow problems for
incompressible fluids. We follow an analytical approach laid out during the last years in a …

We consider the numerical solution of projected algebraic Riccati equations using Newton's
method. Such equations arise, for instance, in model reduction of descriptor systems based …