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Main Title: Regular solutions of DAE hybrid systems and regularization techniques
Author(s): Kunkel, Peter
Mehrmann, Volker
Type: Research Paper
Abstract: The solvability and regularity of hybrid differential-algebraic systems (DAEs) is studied, and classical stability estimates are extended to hybrid DAE systems. Different reasons for non-regularity are discussed and appropriate regularization techniques are presented. This includes a generalization of Filippov regularization in the case of so-called chattering. The results are illustrated by several numerical examples.
Subject(s): differential-algebraic equation
hybrid system
switched system
index reduction
existence and uniqueness of solutions
Filippov regularization
strangeness index
Issue Date: 19-Apr-2017
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34K34 Hybrid systems
34K28 Numerical approximation of solutions
65L80 Methods for differential-algebraic equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2017, 05
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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