Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14527
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Main Title: Analysis and Reformulation of Linear Delay Differential-Algebraic Equations
Author(s): Ha, Phi
Mehrmann, Volker
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15754
http://dx.doi.org/10.14279/depositonce-14527
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: In this paper, we study general linear systems of delay differential-algebraic equations (DDAEs) of arbitrary order. We show that under some consistency conditions, every linear high-order DAE can be reformulated as an underlying high-order ordinary differential equation (ODE) and that every linear DDAE with single delay can be reformulated as a high-order delay differential equation (DDE). We derive condensed forms for DDAEs based on the algebraic structure of the system coefficients, and use these forms to reformulate DDAEs as strangeness-free systems, where all constraints are explicitly available. The condensed forms are also used to investigate structural properties of the system like solvability, regularity, consistency and smoothness requirements.
Subject(s): delay differential-algebraic equation
differential-algebraic equation
strangeness-index
regularization
index reduction
Issue Date: 16-Apr-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
65L05 Initial value problems
65H10 Systems of equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 08
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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