To counter the volatile nature of renewable energy sources, gas networks take a vital role.
But, to ensure fulfillment of contracts under these circumstances, a vast number of possible …

System Gramian matrices are a well-known encoding for properties of input-output systems
such as controllability, observability or minimality. These so-called system Gramians were …

In this work, the empirical-Gramian-based model reduction methods: Empirical poor man's
truncated balanced realization, empirical approximate balancing, empirical dominant …

In regard of the cross Gramian and the block Arnoldi process, this paper focuses on mixed
model reduction for two classes of dynamical systems. By studying the correlation between …

To counter the volatile nature of renewable energy sources, gas networks take a vital role.
But, to ensure fulfillment of contracts under these circumstances, a vast number of possible …

We consider the fast and accurate numerical solution of the Poisson-Boltzmann equation
(PBE), a three-dimensional second-order nonlinear elliptic parametrized partial differential …

For input-output systems, the cross gramian matrix encodes controllability and observability
information into a single matrix, which are essential to system-theoretic applications. This …

This work demonstrates combined state and parameter space reduction for large‐scale
control systems. Two methods for combined reduction are briefly introduced and tested on …

Christian Himpe (himpe@mpi-magdeburg.mpg.de) Mario Ohlberger (mario.ohlberger@uni-muenster.de)
Page 1 A Linear Cross Operator for Nonlinear Model Reduction Christian Himpe (himpe@mpi-magdeburg.mpg.de) …