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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.identifier.citationFerrer 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.description.abstractWe 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.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject.lcshSystem theory
dc.subject.otherconditioned invariant subspace
dc.subject.otherBrunovsky bases
dc.subject.otherorbit space
dc.subject.otherfiber bundle
dc.subject.otherGrassmann manifold
dc.titleStratification and bundle structure of the set of conditioned invariant subspaces in the general case
dc.subject.lemacSistemes, Teoria de
dc.subject.lemacSistemes de control
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.subject.amsClassificació AMS::93 Systems Theory; Control::93C Control systems, guided systems
dc.rights.accessOpen Access
local.citation.publicationNameSystems & control letters

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