Now showing items 1-7 of 7

  • A cellular decomposition of the manifold of observable conditioned invariant subspaces 

    Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2000)
    Article
    Open Access
    Given 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 Access
    Given 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 (2010-09)
    Article
    Restricted access - publisher's policy
    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 ...
  • On the geometry of the solutions of the cover problem 

    Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2003)
    Article
    Open Access
    For 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 Access
    Given 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 Access
    Given 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 Access
    Given a linear time invariant system with a disturbance we describe a method of finding the maximal dimensional output for a generic Disturbance Decoupling problem.