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

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Ferrer Llop, Josep
dc.contributor.author	Puerta Sales, Ferran
dc.contributor.author	Puerta Coll, Xavier
dc.date	1998
dc.identifier.uri	http://hdl.handle.net/2117/1228
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	System theory
dc.subject	invariant subspaces
dc.subject	Sistemes, Teoria de
dc.subject	Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
dc.title	Stratification and bundle structure of the set of general (A,B)-invariant subspaces
dc.type	info:eu-repo/semantics/article
dc.description.abstract	Given (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.

Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier

Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier

Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier

Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier

Peña Carrera, Marta; Puerta Sales, Ferran; Puerta Coll, Xavier

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