Linear Discrete-Time Descriptor Systems

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dc.contributor.authorBrüll, Tobias
dc.date.accessioned2021-12-17T10:07:24Z
dc.date.available2021-12-17T10:07:24Z
dc.date.issued2007-09-05
dc.description.abstractWe consider linear discrete-time descriptor systems, i.e. systems of linear equations of the form $E_{k+1} x_{k+1} = A_k x_k + f_k$, where $E_k$ and $A_k$ are matrices, $f_k$ are vectors and $x_k$ are the vectors of the solution we are looking for. Analogously to the book "Differential-Algebraic Equations - Analysis and Numerical Solution" by V.Mehrmann and P.Kunkel the existence and uniqueness of solutions is first studied for the constant coefficient case, i.e. where $E_k = E$ and $A_k = A$ and then for the variable coefficient case. A strangeness index is defined for such systems.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15614
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14387
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdescriptor systemsen
dc.subject.otherstrangeness indexen
dc.subject.otherlinear discrete descriptor systemsen
dc.titleLinear Discrete-Time Descriptor Systemsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2007, 30en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200039A05 Generalen
tub.subject.msc200015A06 Linear equationsen

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