Computing large-scale system eigenvalues most sensitive to parameter changes, with applications to power system small-signal stability

J Rommes, N Martins - IEEE transactions on power systems, 2008 - ieeexplore.ieee.org
This paper describes a new algorithm, named the sensitive pole algorithm, for the automatic
computation of the eigenvalues (poles) most sensitive to parameter changes in large-scale …

Structure-preserving model reduction for mechanical systems

SWR Werner - 2021 - repo.bibliothek.uni-halle.de
In this thesis, structure-preserving model order reduction for dynamical systems is studied.
The particular focus lies on mechanical systems described by differential equations with …

[PDF][PDF] Methods for eigenvalue problems with applications in model order reduction

J Rommes - 2007 - researchgate.net
1.1 Background Physical structures and processes are modeled by dynamical systems in a
wide range of application areas. In structural analysis, for instance, one is interested in the …

Passivity-preserving model reduction using dominant spectral-zero interpolation

R Ionutiu, J Rommes… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
In this paper, the dominant spectral-zero method (dominant SZM) is presented, a new
passivity-preserving model-reduction method for circuit simulation. Passivity is guaranteed …

Contour integral methods for nonlinear eigenvalue problems: A systems theoretic approach

MC Brennan, M Embree, S Gugercin - SIAM Review, 2023 - SIAM
Contour integral methods for eigenvalue problems seek to compute a subset of the spectrum
in a bounded region of the complex plane. We briefly survey this class of algorithms …

Computation of dominant poles and residue matrices for multivariable transfer functions of infinite power system models

SL Varricchio, FD Freitas, N Martins… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
This paper describes the first reliable Newton algorithm for the sequential computation of the
set of dominant poles of scalar and multivariable transfer functions of infinite systems. This …

A structured pseudospectral method for -norm computation of large-scale descriptor systems

P Benner, M Voigt - Mathematics of Control, Signals, and Systems, 2014 - Springer
In this paper, we discuss the problem of computing the H _ ∞ H∞-norm of transfer functions
associated to large-scale descriptor systems. We exploit the relationship between the H _ ∞ …

On dominant poles and model reduction of second order time-delay systems

M Saadvandi, K Meerbergen, E Jarlebring - Applied numerical …, 2012 - Elsevier
The method known as the dominant pole algorithm (DPA) has previously been successfully
used in combination with model order reduction techniques to approximate standard linear …

Computing transfer function dominant poles of large-scale second-order dynamical systems

J Rommes, N Martins - SIAM Journal on Scientific Computing, 2008 - SIAM
A new algorithm for the computation of dominant poles of transfer functions of large-scale
second-order dynamical systems is presented: the quadratic dominant pole algorithm …

[图书][B] On linear-quadratic optimal control and robustness of differential-algebraic systems

M Voigt - 2015 - books.google.com
This thesis considers the linear-quadratic optimal control problem for differential-algebraic
systems. In this first part, a complete theoretical analysis of this problem is presented. The …