Balanced truncation model reduction for semidiscretized Stokes equation
type: Item
instance of: scholarly article
title: Balanced truncation model reduction for semidiscretized Stokes equation
zbMATH Open document ID: 1102.65075
author: Tatjana Stykel
published in: Linear Algebra and its Applications
publication date: 2006-05-29T00:00:00Z
review text: The author discusses a model reduction of linear continuous-time descriptor systems that arise in the control of semidiscretized Stokes equations. Balanced truncation model reduction methods for descriptor systems are presented. These methods are closely related to the proper and improper controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving projected generalized Lyapunov equations. Important properties of the balanced truncation approach are that the asymptotic stability is preserved in the reduced order system and there is an a priori bound on the approximation error. The author demonstrates the application of the balanced truncation model reduction to the semidiscretized Stokes equation.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 37N10
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 03C20
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B37
zbMATH DE Number: 5028751
zbMATH Keywords: Descriptor system
zbMATH Keywords: model reduction
zbMATH Keywords: balanced truncation
zbMATH Keywords: controllability and observability Gramians
zbMATH Keywords: projected generalized Lyapunov equation
zbMATH Keywords: Hankel singular values
zbMATH Keywords: Stokes equations
zbMATH Keywords: semidiscretization
reviewed by: Peter P. Matus
describes a project that uses: LYAPACK
MaRDI profile type: Publication
full work available at URL: j.laa.2004.01.015
OpenAlex ID: W2088207264
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DOI: 10.1016/J.LAA.2004.01.015
description: scientific article