Browsing by Author "Zaballa, Ion"

A cellular decomposition of the manifold of observable conditioned invariant subspaces
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2000)
Article
Open AccessGiven an observable system defined by a pair of matrices $(C,A)$ we obtain a cellular decomposition of the manifold of $(C,A)$conditioned invariant subspaces having the restricted system fixed observability indices and ... 
A coordinate atlas of the manifold of observable conditioned invariant subspaces
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (1999)
Article
Open AccessGiven an observable system (C,A)€ K^(mxn)X K^(nxn)with K=R or C, the set of (C,A)invariant subspaces having the restricted system fixed observability indices is a smooth manifold embedded on the corresponding ... 
On the geometry of the generalized partial realization problem
Baragaña, Itziar; Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (201009)
Article
Restricted access  publisher's policyThe 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 ... 
On the geometry of the solutions of the cover problem
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2003)
Article
Open AccessFor a given system (A;B) and a subspace S, the Cover Problem consits of ¯nding all (A;B)invariant subspaces containing S. For controllable systems, the set of these subspaces can be suitably strati¯ed. In this paper, ... 
On the parametrization of the controllability pairs of a controllable subspaces of a controllable pair
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2004)
Article
Open AccessGiven a controllable linear control system defined by a pair of constant matrices (A,B), the set of controllability subspaces is a stratified submanifold of the set of (A,B)invariant subspaces. We parametrize each strata ... 
On the parametrization of the controllability subspaces of a controllable pair
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2003)
Article
Open AccessGiven a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)invariant subspaces. We parameterize each ... 
Output Maximal Dimension for the Disturbance Decoupling Problem
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2001)
Article
Open AccessGiven a linear time invariant system with a disturbance we describe a method of finding the maximal dimensional output for a generic Disturbance Decoupling problem.