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Main Title: Linear-Quadratic Gaussian Balancing for Model Reduction of Differential-Algebraic Systems
Author(s): Möckel, Jens
Reis, Timo
Stykel, Tatjana
Type: Research Paper
Abstract: We generalize the model reduction method of linear-quadratic Gaussian balanced truncation to linear time-invariant systems governed by differential-algebraic equations. The presented method relies on the solution of generalized algebraic Riccati equations. A simple a priori error bound in the gap metric is given.
Subject(s): model reduction
descriptor systems
balanced truncation
generalized algebraic Riccati equations
gap metric
normalized coprime factorization
Issue Date: 6-Feb-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B11 System structure simplification
34A09 Implicit equations, differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 01
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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