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On the geometry of the generalized partial realization problem
dc.contributor.author | Baragaña, Itziar |
dc.contributor.author | Puerta Sales, Ferran |
dc.contributor.author | Puerta Coll, Xavier |
dc.contributor.author | Zaballa, Ion |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2010-09-23T14:39:03Z |
dc.date.available | 2010-09-23T14:39:03Z |
dc.date.created | 2010-09 |
dc.date.issued | 2010-09 |
dc.identifier.citation | Baragaña, I. [et al.]. On the geometry of the generalized partial realization problem. "Mathematics of control signals and systems", Setembre 2010, vol. 22, núm. 1, p. 39-89. |
dc.identifier.issn | 0932-4194 |
dc.identifier.uri | http://hdl.handle.net/2117/9078 |
dc.description.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. |
dc.format.extent | 51 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Mathematics |
dc.subject.lcsh | Statistics |
dc.subject.lcsh | Automatic control |
dc.subject.other | controlled invariant subspace Brunovsky indices Smooth manifold Grassmann manifold Partial realization Cover problem |
dc.title | On the geometry of the generalized partial realization problem |
dc.type | Article |
dc.subject.lemac | Control automàtic |
dc.subject.lemac | Matemàtica |
dc.subject.lemac | Estadística |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.identifier.doi | 10.1007/s00498-010-0051-6 |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems |
dc.subject.ams | Classificació AMS::00 General |
dc.relation.publisherversion | http://www.springerlink.com/index/833267733731LH68.pdf |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2755929 |
dc.description.version | Postprint (published version) |
local.citation.author | Baragaña, I.; Puerta, F.; Puerta, F.; Zaballa, I. |
local.citation.publicationName | Mathematics of control signals and systems |
local.citation.volume | 22 |
local.citation.number | 1 |
local.citation.startingPage | 39 |
local.citation.endingPage | 89 |
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