Now showing items 1-6 of 6

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

(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 ...
• #### On the geometry of the generalized partial realization problem ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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 ﻿

(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.