Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14488
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Main Title: Regularization of linear and nonlinear descriptor systems
Author(s): Campbell, Stephen L.
Kunkel, Peter
Mehrmann, Volker
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15715
http://dx.doi.org/10.14279/depositonce-14488
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: Differential-algebraic equations (DAEs) present today the state-of-the-art in dynamical systems arising from automated modularized modeling in almost all areas of science and engineering. While the modeling becomes more and more convenient, the resulting models are typically not easy to treat with current numerical simulation, control and optimization methods. In many cases a reformulation of the models or even a regularization is necessary to avoid failure of the computational methods. In this contribution we will discuss general DAE control problems and how they can be systematically reformulated and regularized so that the resulting system can be used in control and optimization procedures without much further difficulties.
Subject(s): differential-algebraic equation
solvability
consistency
regularity
regularization
derivative array
differentiation-index
strangeness-index
Issue Date: 29-Aug-2011
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34H05 Control problems
49K15 Problems involving ordinary differential equations
65L80 Methods for differential-algebraic equations
93C10 Nonlinear systems
93C15 Systems governed by ordinary differential equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2011, 15
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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