Model order reduction for linear and nonlinear systems: a system-theoretic perspective

U Baur, P Benner, L Feng - Archives of Computational Methods in …, 2014 - Springer
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Dynamic model reduction: An overview of available techniques with application to power systems

SD Đukić, AT Sarić - Serbian journal of electrical engineering, 2012 - doiserbia.nb.rs
This paper summarises the model reduction techniques used for the reduction of large-scale
linear and nonlinear dynamic models, described by the differential and algebraic equations …

Balanced truncation model reduction for large-scale systems in descriptor form

V Mehrmann, T Stykel - Dimension Reduction of Large-Scale Systems …, 2005 - Springer
In this paper we give a survey on balanced truncation model order reduction for linear time-
invariant continuous-time systems in descriptor form. We first give a brief overview of the …

Gramian-based model reduction for descriptor systems

T Stykel - Mathematics of Control, Signals and Systems, 2004 - Springer
Abstract Model reduction is of fundamental importance in many control applications. We
consider model reduction methods for linear time-invariant continuous-time descriptor …

[图书][B] Model order reduction for differential-algebraic equations: a survey

P Benner, T Stykel - 2017 - Springer
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …

An improved characterization of bounded realness for singular delay systems and its applications

S Xu, J Lam, Y Zou - … Journal of Robust and Nonlinear Control …, 2008 - Wiley Online Library
This paper is concerned with establishing a delay‐dependent bounded real lemma (BRL)
for singular systems with a time delay. Without resorting to any bounding techniques for …

Balanced truncation model reduction for semidiscretized Stokes equation

T Stykel - Linear Algebra and its Applications, 2006 - Elsevier
We discuss model reduction of linear continuous-time descriptor systems that arise in the
control of semidiscretized Stokes equations. Balanced truncation model reduction methods …

Model-order reduction of moving nonlinear electromagnetic devices

MN Albunni, V Rischmuller, T Fritzsche… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
We present a new approach for generating fast simulation models of electromagnetic (EM)
devices that contain moving components and magnetic materials with nonlinear properties …

Model reduction of large scale descriptor systems using time limited gramians

KS Haider, A Ghafoor, M Imran… - Asian Journal of …, 2017 - Wiley Online Library
A new technique for model order reduction of large scale continuous linear time invariant
descriptor systems in limited time interval is proposed. The concept of time limited Gramians …

Model reduction of descriptor systems using frequency limited Gramians

M Imran, A Ghafoor - Journal of the Franklin Institute, 2015 - Elsevier
Abstract Model reduction is a process of approximating higher order original models by
comparatively lower order models with reasonable accuracy in order to provide ease in …