[BUCH][B] Computational methods for approximation of large-scale dynamical systems

MM Uddin - 2019 - taylorfrancis.com
These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

Large-Scale Computation of -Norms by a Greedy Subspace Method

N Aliyev, P Benner, E Mengi, P Schwerdtner… - SIAM Journal on Matrix …, 2017 - SIAM
We are concerned with the computation of the L_∞-norm for an L_∞-function of the form
H(s)=C(s)D(s)^-1B(s), where the middle factor is the inverse of a meromorphic matrix-valued …

SOBMOR: structured optimization-based model order reduction

P Schwerdtner, M Voigt - SIAM Journal on Scientific Computing, 2023 - SIAM
Model order reduction (MOR) methods that are designed to preserve structural features of a
given full order model (FOM) often suffer from a lower accuracy when compared to their non …

[HTML][HTML] The Kalman–Yakubovich–Popov inequality for differential-algebraic systems

T Reis, O Rendel, M Voigt - Linear Algebra and its Applications, 2015 - Elsevier
In this paper we revisit the Kalman–Yakubovich–Popov lemma for differential-algebraic
control systems. This lemma relates the positive semi-definiteness of the Popov function on …

On the sample complexity of stabilizing linear dynamical systems from data

SWR Werner, B Peherstorfer - Foundations of Computational Mathematics, 2024 - Springer
Learning controllers from data for stabilizing dynamical systems typically follows a two-step
process of first identifying a model and then constructing a controller based on the identified …

Linear-quadratic optimal control of differential-algebraic systems: the infinite time horizon problem with zero terminal state

T Reis, M Voigt - SIAM Journal on Control and Optimization, 2019 - SIAM
In this work we revisit the linear-quadratic optimal control problem for differential-algebraic
systems on the infinite time horizon with zero terminal state. Based on the recently …

Feedback Nash equilibrium for randomly switching differential–algebraic games

A Tanwani, Q Zhu - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
As a subclass of stochastic differential games with algebraic constraints, this article studies
dynamic noncooperative games where the dynamics are described by Markov jump …

[PDF][PDF] Numerical aspects of flow stabilization by Riccati feedback

HK Weichelt - 2016 - pure.mpg.de
In this thesis, we examine important numerical aspects of a Riccati-based feedback
stabilization approach in order to stabilize incompressible flow problems. Various transport …

Algorithm 961: Fortran 77 subroutines for the solution of skew-Hamiltonian/Hamiltonian eigenproblems

P Benner, V Sima, M Voigt - ACM Transactions on Mathematical …, 2016 - dl.acm.org
Skew-Hamiltonian/Hamiltonian matrix pencils λ S—H appear in many applications,
including linear-quadratic optimal control problems, H∞-optimization, certain multibody …

Numerical linear algebra methods for linear differential-algebraic equations

P Benner, P Losse, V Mehrmann, M Voigt - Surveys in differential …, 2015 - Springer
A survey of methods from numerical linear algebra for linear constant coefficient differential-
algebraic equations (DAEs) and descriptor control systems is presented. We discuss …