On the geometry of the generalized partial realization problem.
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| Title: | On the geometry of the generalized partial realization problem. |
|---|---|
| Authors: | Baragaña, I.1 itziar.baragana@ehu.es, Puerta, F.2 ferran.puerta@upc.edu, Puerta, X.2 francisco.javier.puerta@upc.edu, Zaballa, I.3 ion.zaballa@ehu.es |
| Source: | Mathematics of Control, Signals & Systems. Mar2010, Vol. 22 Issue 1, p39-89. 51p. |
| Subjects: | Geometry problems & exercises, Stratified sets, Grassmann manifolds, Invariant subspaces, Matrices (Mathematics), Finite geometries |
| Abstract: | The geometry of the set of generalized partial realizations of a finite nice sequence of matrices is studied. It is proved that this set is a stratified manifold, the dimension of their strata is computed and its connection with the geometry of the cover problem is clarified. The results can be applied, as a particular case, to the classical partial realization problem. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematics of Control, Signals & Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 52890796 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the geometry of the generalized partial realization problem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Baragaña%2C+I%2E%22">Baragaña, I.</searchLink><relatesTo>1</relatesTo><i> itziar.baragana@ehu.es</i><br /><searchLink fieldCode="AR" term="%22Puerta%2C+F%2E%22">Puerta, F.</searchLink><relatesTo>2</relatesTo><i> ferran.puerta@upc.edu</i><br /><searchLink fieldCode="AR" term="%22Puerta%2C+X%2E%22">Puerta, X.</searchLink><relatesTo>2</relatesTo><i> francisco.javier.puerta@upc.edu</i><br /><searchLink fieldCode="AR" term="%22Zaballa%2C+I%2E%22">Zaballa, I.</searchLink><relatesTo>3</relatesTo><i> ion.zaballa@ehu.es</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematics+of+Control%2C+Signals+%26+Systems%22">Mathematics of Control, Signals & Systems</searchLink>. Mar2010, Vol. 22 Issue 1, p39-89. 51p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Geometry+problems+%26+exercises%22">Geometry problems & exercises</searchLink><br /><searchLink fieldCode="DE" term="%22Stratified+sets%22">Stratified sets</searchLink><br /><searchLink fieldCode="DE" term="%22Grassmann+manifolds%22">Grassmann manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Invariant+subspaces%22">Invariant subspaces</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+geometries%22">Finite geometries</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The geometry of the set of generalized partial realizations of a finite nice sequence of matrices is studied. It is proved that this set is a stratified manifold, the dimension of their strata is computed and its connection with the geometry of the cover problem is clarified. The results can be applied, as a particular case, to the classical partial realization problem. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematics of Control, Signals & Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00498-010-0051-6 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 51 StartPage: 39 Subjects: – SubjectFull: Geometry problems & exercises Type: general – SubjectFull: Stratified sets Type: general – SubjectFull: Grassmann manifolds Type: general – SubjectFull: Invariant subspaces Type: general – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Finite geometries Type: general Titles: – TitleFull: On the geometry of the generalized partial realization problem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Baragaña, I. – PersonEntity: Name: NameFull: Puerta, F. – PersonEntity: Name: NameFull: Puerta, X. – PersonEntity: Name: NameFull: Zaballa, I. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2010 Type: published Y: 2010 Identifiers: – Type: issn-print Value: 09324194 Numbering: – Type: volume Value: 22 – Type: issue Value: 1 Titles: – TitleFull: Mathematics of Control, Signals & Systems Type: main |
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