Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14285
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Main Title: Balanced truncation model reduction for semidiscretized Stokes equation
Author(s): Stykel, Tatjana
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15512
http://dx.doi.org/10.14279/depositonce-14285
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We discuss 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 a priori bound on the approximation error. We demonstrate the application of balanced truncation model reduction to the semidiscretized Stokes equation.
Subject(s): matrix equations and identities
dynamical systems in fluid mechanics, oceanography and meteorology
Issue Date: 1-Feb-2003
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 15A24 Matrix equations and identities
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
93A15 Large scale systems
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2003, 04
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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