Finite dimensional approximations of distributed parameter control systems

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dc.contributor.authorHill, David Deanen
dc.contributor.committeechairBurns, John A.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberCliff, Eugene M.en
dc.contributor.committeememberHannsgen, Kenneth B.en
dc.contributor.committeememberCebuhar, W.A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2015-07-10T19:59:56Zen
dc.date.available2015-07-10T19:59:56Zen
dc.date.issued1989en
dc.description.abstractIn this paper we consider two separate approaches to the development of finite dimensional control systems for approximating distributed parameter models. One method uses the “standard finite element” approximations to construct the basic system matrices. The resulting system can then be balanced by any of several balancing algorithms. The second method is based on truncating infinite dimensional balanced realizations of the input-output map. Both approaches are applied to a control problem governed by the heat equation. We present a comparison of the resulting finite dimensional models.en
dc.description.degreePh. D.en
dc.format.extentvi, 76 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/54383en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 20623700en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1989.H566en
dc.subject.lcshControl theory -- Researchen
dc.titleFinite dimensional approximations of distributed parameter control systemsen
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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