Interpolation by rational matrix functions with minimal McMillan degree

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dc.contributor.authorKang, Jeongook Kimen
dc.contributor.committeechairBall, Joseph A.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberKohler, Werner E.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:10:52Zen
dc.date.adate2006-05-11en
dc.date.available2014-03-14T21:10:52Zen
dc.date.issued1990-12-05en
dc.date.rdate2006-05-11en
dc.date.sdate2006-05-11en
dc.description.abstractInterpolation conditions on rational matrix functions expressed in terms of residues are studied. As a compact way of expressing tangential interpolation conditions of arbitrarily high multiplicity possibly from both sides simultaneously, interpolation conditions are represented in terms of residues. The minimal possible complexity, measured by the McMillan degree, of interpolants is found in terms of the controllability and the observability indices of certain pairs of matrices which are part of given data. An interpolant of such complexity is obtained in realization form. This leads to another approach to the partial realization problem. As a generalization of the well-known Lagrange interpolation problem for scalar polynomials, the problem of seeking for a matrix polynomial interpolant of low complexity is studied. The main tool is state space methods borrowed from systems theory. After adoption of state space methods, problems concerning rational matrix functions are reduced to the realm of linear algebra.en
dc.description.degreePh. D.en
dc.format.extentv, 133 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-05112006-154752en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05112006-154752/en
dc.identifier.urihttp://hdl.handle.net/10919/37745en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.K362.pdfen
dc.relation.isformatofOCLC# 23716263en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.K362en
dc.subject.lcshInterpolation -- Researchen
dc.titleInterpolation by rational matrix functions with minimal McMillan degreeen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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