Now showing items 1-20 of 25

• #### A geometric approach to the Carlson problem ﻿

(Society for Industrial and Applied Mathematics (Filadèlfia), 2000)
Article
Open Access
The possible observability indices of an observable pair of matrices, when supplementary subpairs are prescribed, are characterized when the “quotient” one is nilpotent. The geometric techniques used are also valid in the ...
• #### Càlcul integral per a enginyers ﻿

(Universitat Politècnica de Catalunya, 2002)
Book
El càlcul integral és una matèria bàsica dins els plans d'estudis de les enginyeries i les llicenciatures científiques. Aquest llibre és una introducció a la teoria de la integració de diverses variables i la integració ...
• #### Classi fication of monogenic invariant subspaces and uniparametric linear control systems ﻿

(2012-12)
External research report
Open Access
The classification of the invariant subspaces of an endomorphism has been an open problem for a long time, and it is a ”wild” problem in the general case. Here we obtain a full classification for the monogenic ones. Some ...

(2005)
Article
Open Access
• #### Contribució a l'estudi geomètric de subespais invariants respecte a transformacions i sistemes lineals ﻿

(Universitat Politècnica de Catalunya, 2001-10-19)
Doctoral thesis
Open Access
Mitjançant tècniques geomètriques, abordem les qüestions següents:<br/><br/>(i) Estudi (caracterització, classificació, famílies diferenciables,...) d'una classe destacada de subespais invariants, els anomenats ...
• #### Dimension of the orbit of marked subspaces ﻿

(2004)
Article
Open Access
Given a nilpotent endomorphism, we consider the manifold of invariant subspaces having a fixed Segre characteristic. In [Linear Algebra Appl., 332–334 (2001) 569], the implicit form of a miniversal deformation of an ...
• #### Geometric classification of monogenic subspaces and uniparametric linear control systems ﻿

(Taylor & Francis, 2015)
Article
Open Access
We present a geometric approach to the classification of monogenic invariant subspaces, alternative to the classical algebraic one, which allows us to obtain several matricial canonical forms for each class. Some applications ...
• #### Geometric structure of single/combined equivalence classes of a controllable pair ﻿

(2011-11)
Article
Open Access
Given a pair of matrices representing a controllable linear system, its equivalence classes by the single or combined action of feedbacks, change of state and input variables, as well as their intersection are studied. ...
• #### Geometric structure of the equivalence classes of a controllable pair ﻿

(2010)
Conference lecture
Open Access
Given a pair of matrices representing a controllable linear system, we study its equivalence classes by the single or combined action of feedbacks and change of state and input variables, as well as their intersections. ...
• #### Local differentiable pole assignment ﻿

(Taylor & Francis, 2010)
Article
Open Access
Given a general local differentiable family of pairs of matrices, we obtain a local differentiable family of feedbacks solving the pole assignment problem, that is to say, shifting the spectrum into a prefixed one. We ...
• #### Matricial realizations of the solutions of the Carlson problem ﻿

(2001)
Article
Open Access
The Klein theorem asserts the existence of a solution of the Carlson problem when a related Littelewood-Richardson sequence exists. Here we present an explicit construction of these matricial solutions.
• #### Miniversal deformations of marked matrices ﻿

(2001)
Article
Open Access
Given the set of square matricesM⊂Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we obtain the implicit form of a miniversal deformation of a matrix a∈M, and we compute it explicitely when this matrix is ...
• #### Miniversal deformations of observable marked matrices ﻿

(2014)
Article
Restricted access - publisher's policy
Given the set of vertical pairs of matrices ${\cal M}\subset M_{m,n}(\mathbb C)\times M_n(\mathbb C)$ keeping the subspace $\mathbb C^d\times\{0\}\subset\mathbb C^n$ invariant,we compute miniversal deformations of a given ...
• #### Miniversal deformations of observable marked matrices ﻿

(2012)
External research report
Open Access
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invariant, we compute miniversal deformations of a given pair when it is observable and the subspace Cd × {0} is marked. ...
• #### On the effect of friend feedbacks ﻿

(2011)
Article
Restricted access - publisher's policy
Given S an (A,B)-invariant subspace, we prove that the set of friend feedbacks is a linear variety, which can be considered as the direct sum of the feedbacks of the restriction to S and the co-restriction to S ⊥. In ...
• #### On the effect of friend feedbacks ﻿

(2009)
Article
Open Access
Given S an (A;B)-invariant subspace, we prove that the set of friend feedbacks is a (nm¡md+dq)-dimensional linear variety, which can be considered as the direct sum of the feedbacks of the restriction to S and the ...
• #### Output regulation problem for differentiable families of linear systems ﻿

(2010)
Article
Open Access
Given a family of linear systems depending on a parameter varying in a differentiable manifold, we obtain sufficient conditions for the existence of a (global or local) differentiable family of controllers solving the ...
• #### Output regulation problem for differentiable families of linear systems ﻿

(2009)
Article
Open Access
Given a family of linear systems depending on a parameter varying in a differentiable manifold, we obtain sufficient conditions for the existence of a (global or local) differentiable family of controllers solving the ...
• #### Perturbations preserving conditioned invariant subspaces ﻿

(2010)
Conference lecture
Open Access
Given the set of matrix pairs M ⊂ Mm,n(C) × Mn(C) keeping a subspace S ⊂ Cn invariant, we obtain a miniversal deformation of a pair belonging to an open dense subset of M. It generalizes the known results when S is a ...
• #### Perturbations preserving conditioned invariant subspaces ﻿

(2011)
Article
Restricted access - publisher's policy
Given the set of matrix pairsM Mm,n.C/ Mn.C/ keeping a subspace S Cn invariant, we obtain a miniversal deformation of a pair belonging to an open dense subset ofM. It generalizes the known results when S is a ...