Now showing items 1-20 of 30

    • A geometric approach to the Carlson problem 

      Compta Creus, Albert; Ferrer Llop, Josep (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 ...
    • Anàlisi complexa. Apunts 

      Compta Creus, Albert (Universitat Politècnica de Catalunya, 1997)
      Lecture notes
      Open Access
    • Anàlisi complexa. Apunts 

      Compta Creus, Albert (Universitat Politècnica de Catalunya, 1997)
      Lecture notes
      Open Access
    • Anàlisi complexa. Apunts 

      Compta Creus, Albert (Universitat Politècnica de Catalunya, 1998)
      Lecture notes
      Open Access
    • Anàlisi complexa. Problemes 

      Compta Creus, Albert (Universitat Politècnica de Catalunya, 2000)
      Lecture notes
      Open Access
    • Càlcul integral per a enginyers 

      Compta Creus, Albert; Bonet Revés, Carles; Consul Porras, M. Nieves; Ollé Torner, Mercè; Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2002)
      Book
      Restricted access to the UPC academic community
      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 

      Compta Creus, Albert; Ferrer Llop, Josep (2012-12)
      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 ...
    • Consideraciones en torno al problema del desacoplamiento 

      Clotet Juan, Josep; Compta Creus, Albert (2005)
      Article
      Open Access
    • Contribució a l'estudi geomètric de subespais invariants respecte a transformacions i sistemes lineals 

      Compta Creus, Albert (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 

      Compta Creus, Albert; Ferrer Llop, Josep (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 

      Peña Carrera, Marta; Compta Creus, Albert; Ferrer Llop, Josep (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 

      Compta Creus, Albert; Ferrer Llop, Josep (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Puerta Sales, Ferran (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (2012)
      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 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 ...
    • On the effect of friend feedbacks 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 ...