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On the geometry of the generalized partial realization problem
Baragaña, Itziar; Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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.
2012-05-10
Àrees temàtiques de la UPC::Matemàtiques i estadística
Mathematics
Statistics
Automatic control
controlled invariant subspaceBrunovsky indicesSmooth manifoldGrassmann manifoldPartial realization Cover problem
Control automàtic
Matemàtica
Estadística
Classificació AMS::70 Mechanics of particles and systems::70Q05 Control of mechanical systems
Classificació AMS::00 General
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