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Stratification and bundle structure of the set of general (A,B)-invariant subspaces

dc.contributor.authorFerrer Llop, Josep
dc.contributor.authorPuerta Sales, Ferran
dc.contributor.authorPuerta Coll, Xavier
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-10-04T16:11:00Z
dc.date.available2007-10-04T16:11:00Z
dc.date.issued1998
dc.identifier.urihttp://hdl.handle.net/2117/1228
dc.description.abstractGiven (A,B) in Hom(C^(n+m) C^n), we prove that the set of (A,B)-invariant subspaces having a fixed Brunovsky-Kronecker structure is a submanifold of the corresponding grassman manifold, and we compute its dimension. Also, we prove that the set of all (A,B)-invariant subspaces having a fixed dimension is connected, provided that (A,B) has only one eigenvalue.
dc.format.extent17 pages
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshSystem theory
dc.subject.otherinvariant subspaces
dc.titleStratification and bundle structure of the set of general (A,B)-invariant subspaces
dc.typeArticle
dc.subject.lemacSistemes, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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