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Main Title: Positive real and bounded real balancing for model reduction of descriptor systems
Author(s): Reis, Timo
Stykel, Tatjana
Type: Research Paper
Abstract: We present an extension of the positive real and bounded real balanced truncation model reduction methods to large-scale descriptor systems. These methods are based on balancing the solutions of the projected Lur'e matrix equations. Important properties of these methods are that, respectively, passivity and contractivity are preserved in the reduced-order models and that there exist approximation error bounds. We also discuss the numerical solution of the projected Lur'e equations. Numerical examples are given.
Subject(s): descriptor systems
positive real
bounded real
model reduction
balanced truncation
Lur'e equations
Issue Date: 27-Jun-2008
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
93C05 Linear systems
15A22 Matrix pencils
15A24 Matrix equations and identities
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 25
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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