Preserving the DAE structure in the Loewner model reduction and identification framework

IV Gosea, Q Zhang, AC Antoulas - Advances in Computational …, 2020 - Springer
We propose an extension of the Loewner framework to descriptor linear systems that
preserves the DAE (differential algebraic equation) structure of the underlying system. More …

Optimal Hankel norm model reduction for discrete-time descriptor systems

X Cao, MB Saltik, S Weiland - Journal of the Franklin Institute, 2019 - Elsevier
Optimal Hankel norm model reduction for dynamical systems is of great significance in
model-based simulation and design. For the class of linear time-invariant systems, it is …

Hankel-norm approximation of large-scale descriptor systems

P Benner, SWR Werner - Advances in Computational Mathematics, 2020 - Springer
Hankel-norm approximation is a model reduction method for linear time-invariant systems,
which provides the best approximation in the Hankel semi-norm. In this paper, the …

Model reduction of descriptor systems with the MORLAB toolbox

P Benner, SWR Werner - IFAC-PapersOnLine, 2018 - Elsevier
Abstract The MORLAB (Model Order Reduction Laboratory) toolbox is a software solution in
MATLAB for the model reduction of linear time-invariant continuous-time systems. It contains …

[PDF][PDF] A posteriori error estimation and adaptivity for model order reduction of large-scale systems

S Chellappa - 2022 - pure.mpg.de
In this thesis, we study a posteriori error estimation and adaptivity with the goal of automatic
model order reduction of large-scale systems. We propose efficient offline adaptive …

Optimal Hankel norm approximation for continuous-time descriptor systems

X Cao, MB Saltik, S Weiland - 2018 Annual American Control …, 2018 - ieeexplore.ieee.org
This paper discusses optimal Hankel norm approximations (HNA) of continuous-time
descriptor systems. The main results are based on the fact that the system can be …

On the transformation formulas of the Hankel‐norm approximation

P Benner, SWR Werner - Pamm, 2017 - Wiley Online Library
The Hankel‐norm approximation of a linear time‐invariant system is a method of model
reduction which yields the best approximation in the Hankel semi‐norm. For the application …