Bibliographic Details
| Title: |
On the geometry of the generalized partial realization problem. |
| Authors: |
Baragaña, I.1 itziar.baragana@ehu.es, Puerta, F.2 ferran.puerta@upc.edu, Puerta, X.2 francisco.javier.puerta@upc.edu, Zaballa, I.3 ion.zaballa@ehu.es |
| Source: |
Mathematics of Control, Signals & Systems. Mar2010, Vol. 22 Issue 1, p39-89. 51p. |
| Subjects: |
Geometry problems & exercises, Stratified sets, Grassmann manifolds, Invariant subspaces, Matrices (Mathematics), Finite geometries |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
