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dc.contributor.authorMehrmann, Volker
dc.contributor.authorShi, Chunchao
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.subject.ddc510 Mathematiken
dc.subject.otherdifferential-algebraic equationen
dc.subject.otherhigher order systemen
dc.subject.otherorder reductionen
dc.subject.otherindex reductionen
dc.subject.othermatrix polynomialen
dc.titleAnalysis of higher order linear differential-algebraic systemsen
dc.typeResearch Paperen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2004, 17en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
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

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