Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14310
For citation please use:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorMehrmann, Volker
dc.contributor.authorShi, Chunchao
dc.date.accessioned2021-12-17T10:06:06Z-
dc.date.available2021-12-17T10:06:06Z-
dc.date.issued2004-07-19
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15537-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14310-
dc.description.abstractWe study linear over- or under-determined differential-algebraic systems of order larger than $1$. We analyze the classical procedure of turning the system into a first order system. We show that this approach leads to solutions that may have different smoothness requirements. We derive canonical and condensed forms as well as general existence and uniqueness results for differential-algebraic systems of arbitrary order and index. We also show how to identify exactly those variables for which the order reduction to first order does not lead to extra smoothness requirements. Finally we discuss some consequences for the analysis of matrix polynomials.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdifferential-algebraic equationen
dc.subject.otherhigher order systemen
dc.subject.otherorder reductionen
dc.subject.otherindex reductionen
dc.subject.otherstrangeness-indexen
dc.subject.othermatrix polynomialen
dc.titleAnalysis of higher order linear differential-algebraic systemsen
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2004, 17en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200065L80 Methods for differential-algebraic equationsen
tub.subject.msc200065L05 Initial value problemsen
Appears in Collections:Technische Universität Berlin » Publications

Files in This Item:
m_shi1_ppt.pdf
Format: Adobe PDF | Size: 320.1 kB
DownloadShow Preview
Thumbnail
m_shi1_ppt.ps
Format: Postscript | Size: 720.19 kB
Download

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.