dc.contributor.author Ferrer Llop, Josep dc.contributor.author Puerta Sales, Ferran dc.contributor.author Puerta Coll, Xavier dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I dc.date.accessioned 2007-05-02T16:21:33Z dc.date.available 2007-05-02T16:21:33Z dc.date.created 2003 dc.date.issued 2003 dc.identifier.citation Ferrer Llop, J.; Puerta Sales, F.; Puerta Coll, X. Stratification and bundle structure of the set of conditioned invariant subspaces in the general case. "Systems & control letters", 2003, vol. 48, núm. 2, p. 77-86. dc.identifier.uri http://hdl.handle.net/2117/839 dc.description.abstract We extend some known results about the smooth stratification of the set of conditioned invariant subspaces for a general pair $(C,A)\in\w C^n\times\w C^{n+m}$ without any assumption on the observability. More precisely we prove that the set of $(C,A)$-conditioned invariant subspaces having a fixed Brunovsky-Kronecker structure is a submanifold of the corresponding Grassman manifold, with a vector bundle structure relating the observable and nonobservable part, and we compute its dimension. We also prove that the set of all $(C,A)$-conditioned invariant subspaces having a fixed dimension is connected, provided that the nonobservable part of $(C,A)$ has at most one eigenvalue (this condition is in general necessary). dc.format.extent 17 dc.language.iso eng dc.rights Attribution-NonCommercial-NoDerivs 2.5 Spain dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/es/ dc.subject.lcsh System theory dc.subject.other conditioned invariant subspace dc.subject.other Brunovsky bases dc.subject.other orbit space dc.subject.other fiber bundle dc.subject.other Grassmann manifold dc.title Stratification and bundle structure of the set of conditioned invariant subspaces in the general case dc.type Article dc.subject.lemac Sistemes, Teoria de dc.subject.lemac Sistemes de control dc.contributor.group Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions dc.subject.ams Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure dc.subject.ams Classificació AMS::93 Systems Theory; Control::93C Control systems, guided systems dc.rights.access Open Access local.identifier.drac 691339 local.citation.publicationName Systems & control letters local.citation.volume 48 local.citation.number 2 local.citation.startingPage 77 local.citation.endingPage 86
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