Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A Parameterization of Positive Real Residue Interpolants with McMillan Degree Constraint
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

A parameterization of the solutions to the positive real residue interpolation with McMillan degree constraint is given. The McMillan degree of the interpolants is equal to the McMillan degree of the maximum entropy interpolant, and the parameterization includes the maximum entropy interpolant.

Keyword [en]
Positive real interpolation, McMillan degree constraint
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-14227OAI: oai:DiVA.org:kth-14227DiVA: diva2:331819
Note
QC20100727Available from: 2010-07-27 Created: 2010-07-27 Last updated: 2010-07-27Bibliographically approved
In thesis
1. A Parameterization of Positive Real Residue Interpolants with McMillan Degree Constraint
Open this publication in new window or tab >>A Parameterization of Positive Real Residue Interpolants with McMillan Degree Constraint
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The main body of this thesis consists of six appended papers.The papers are about the theory of the positive real interpolationwith McMillan degree constraint.In Paper A, a parameterization of the positive real residue interpolantswith McMillan degree constraint is given.For a given interpolation data and for each free parameter,a positive real interpolant, of which McMillan degree isequal to the McMillan degree of the maximum entropy interpolant, is obtained bysolving a nonlinear equation, which is homotopic to a nonlinear equation to determinethe maximum entropy interpolant.In Paper B,the state-space realization of the multivariable rational interpolant with bounded McMillan degreeis given by the block discrete-time Schwarz form.A characterization of the positive realness of the block discrete-time Schwarz form isgiven by a linear matrix inequality.In Paper C,a robust controller synthesis for the mismatch of delay in terms ofthe Nevanlinna-Pick interpolation is presented.In Paper D,a Smith predictor synthesis for unstable and minimum-phaseinput delay system and for a first orderunstable distributed delay system is given in terms of the Nevanlinna-Pick interpolation.In Paper E , we study an approximation of spectral density in termsof the generalized Kullback-Leibler distance minimization.For a given spectral density,we seek a spectraldensity by minimizingthe generalized Kullback-Leibler distance subject to a constraint onthe tangential second-orderstatistics.In Paper F, a property of Schur polynomial of real coefficientsand real Toeplitz matrix is given.Suppose that the vector of coefficients of a Schur polynomial annihilatesa Toeplitz matrix, then the Toeplitz matrix is in facta zero matrix.

Place, publisher, year, edition, pages
Stockholm: KTH, 2009. viii, 13 p.
Series
Trita-MAT. OS, ISSN 1401-2294 ; 09:04
National Category
Mathematics Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-10607 (URN)978-91-7415-343-9 (ISBN)
Public defence
2009-06-12, Sal D1, Lindstedtsvägen 17, KTH, Stockholm, 10:00 (English)
Opponent
Supervisors
Note
QC 20100727Available from: 2009-06-03 Created: 2009-06-02 Last updated: 2010-07-27Bibliographically approved

Open Access in DiVA

fulltext(660 kB)279 downloads
File information
File name FULLTEXT01.pdfFile size 660 kBChecksum SHA-512
1a29d382543bd7516e362aad604046247ad25c1441e64c0468856e149a38f13e5d0138779cf8d3e4a9e0a229c79676dba36656c36ced9e32420a8582a3a7bbb8
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Kuroiwa, Yohei
By organisation
Optimization and Systems Theory
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 279 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 70 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf