descriptionPublicationkeyboard_double_arrow_right Article 15 Jul 2010 English Publisher:Springer Science and Business Media LLCJournal:Mathematics of Control, Signals, and Systems, volume 22, pages 39-89 (issn: 0932-4194, eissn: 1435-568X,

Authors: Baragaña, Itziar; Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion;

doi: 10.1007/s00498-010-0051-6

handle: 2117/9078

On the geometry of the generalized partial realization problem

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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.

Related Organizations

University of the Basque Country
Spain
Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain

Keywords

Automatic control, Àrees temàtiques de la UPC::Matemàtiques i estadística, Statistics, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Estadística, Control automàtic, :00 General [Classificació AMS], :70 Mechanics of particles and systems::70Q05 Control of mechanical systems [Classificació AMS], controlled invariant subspace Brunovsky indices Smooth manifold Grassmann manifold Partial realization Cover problem, Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems, Classificació AMS::00 General, Matemàtica, Mathematics

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