Generalized realization

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dc.contributor.advisorAntoulas, Athanasios C.en_US
dc.creatorMayo, Andrewen_US
dc.date.accessioned2018-12-03T18:31:40Zen_US
dc.date.available2018-12-03T18:31:40Zen_US
dc.date.issued2008en_US
dc.description.abstractThis thesis is broadly concerned with the following problem: given frequency response measurements construct a linear time-invariant system that is consistent with these measurements. This problem arises, for example, in V.L.S.I. design and testing. The major contribution of this thesis is to provide a new solution to this problem in which the celebrated Silverman-Ho algorithm is shown to be a special case. The major difference between this method and existing methods is the use of the shifted Loewner matrix in addition to the Loewner matrix. The approach advocated is then extended to deal with inexact data and rational approximation. The error introduced in these scenarios is analyzed. Finally, some progress is made in the "permissible order" problem of rational interpolation. The permissible orders of interpolants are shown to be related to the Kronecker structure of the matrix pencil associated to the Loewner and shifted Loewner matrices.en_US
dc.format.extent94 ppen_US
dc.identifier.callnoTHESIS E.E. 2009 MAYOen_US
dc.identifier.citationMayo, Andrew. "Generalized realization." (2008) Diss., Rice University. <a href="https://hdl.handle.net/1911/103589">https://hdl.handle.net/1911/103589</a>.en_US
dc.identifier.digital304509864en_US
dc.identifier.urihttps://hdl.handle.net/1911/103589en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectElectrical engineeringen_US
dc.subjectApplied sciencesen_US
dc.subjectDescriptor systemsen_US
dc.subjectGeneralized realizationen_US
dc.subjectIdentificationen_US
dc.subjectInterpolationen_US
dc.subjectLoewner matricesen_US
dc.titleGeneralized realizationen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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