On the geometry of the generalized partial realization problem

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/9078

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	Baragaña, Itziar
dc.contributor.author	Puerta Sales, Ferran
dc.contributor.author	Puerta Coll, Xavier
dc.contributor.author	Zaballa, Ion
dc.date	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.citation	0932-4194
dc.identifier.citation	10.1007/s00498-010-0051-6
dc.identifier.uri	http://hdl.handle.net/2117/9078
dc.language.iso	eng
dc.relation	http://www.springerlink.com/index/833267733731LH68.pdf
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Mathematics
dc.subject	Statistics
dc.subject	Automatic control
dc.subject	controlled invariant subspace Brunovsky indices Smooth manifold Grassmann manifold Partial realization Cover problem
dc.subject	Control automàtic
dc.subject	Matemàtica
dc.subject	Estadística
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems
dc.subject	Classificació AMS::00 General
dc.title	On the geometry of the generalized partial realization problem
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
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.

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