Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14747
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Main Title: Model Reduction of Descriptor Systems
Author(s): Stykel, Tatjana
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15974
http://dx.doi.org/10.14279/depositonce-14747
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: Model reduction is of fundamental importance in many control applications. We consider model reduction methods for linear continuous-time descriptor systems. The methods are based on balanced truncation techniques and closely related to the controllability and observability Gramians and Hankel singular values of descriptor systems. The Gramians can be computed by solving the generalized Lyapunov equations with special right-hand sides. The numerical solution of generalized Lyapunov equations is also discussed. A numerical example is given.
Subject(s): descriptor systems
controllability and observability Gramians
Hankel singular values
model reduction
Issue Date: 12-Dec-2001
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93C05 Linear systems
15A24 Matrix equations and identities
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2001, 720
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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