Now showing items 1-20 of 52

  • 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 ...
  • Bifurcation diagram for saddle/source bimodal linear dynamical systems 

    Peña Carrera, Marta; Ferrer Llop, Josep; Susín Sánchez, Antonio (2016)
    Article
    Open Access
    We continue the study of the structural stability and the bifurcations of planar bimodal linear dynamical systems (BLDS) (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming ...
  • Bifurcation diagram of Saddle/Spiral bimodal linear systems 

    Ferrer Llop, Josep; Peña Carrera, Marta; Susín Sánchez, Antonio (2017-01-01)
    Article
    Open Access
    We complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the respective traces T and t: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the ...
  • Brunovsky local form of a holomorphic family of pair of matrices 

    Ferrer Llop, Josep; García Planas, María Isabel; Puerta Sales, Ferran (Elsevier, 1997)
    Article
    Restricted access - publisher's policy
    Following Arnold’s techniques, we obtain a local canonical form of a holomorphic family of pairs of matrices ( A( A), B(h)) ac t e d on by the state feedback group. We obtain an explicit formula to compute the dimension ...
  • Càlcul diferencial de n variables : problemes resolts 

    Clotet Juan, Josep; Ferrer Llop, Josep; García Planas, María Isabel (Edicions UPC, 1996)
    Book
    Restricted access to the UPC academic community
    Aquest recull de problemes resolts de càlcul diferencial de n-variables és adreçat als estudiants de primer curs d'enginyeria de cicle llarg i, en particular, als de l'ETSEIB. Amb aquest objectiu, hem seleccionat els ...
  • Càlcul diferencial d'una i diverses variables : problemes resolts 

    Clotet Juan, Josep; Ferrer Llop, Josep; García Planas, María Isabel (Edicions UPC, 2000)
    Book
    Restricted access to the UPC academic community
    Aquest recull de problemes resolts de càlcul diferencial d'una i diverses variables és adreçat als estudiants de primer curs d'enginyeria de cicle llarg i, en particular, als de l'Escola Tècnica Superior d'Enginyers ...
  • Càlcul diferencial d'una variable : problemes resolts 

    Clotet Juan, Josep; Ferrer Llop, Josep; García Planas, María Isabel (Edicions UPC, 1994)
    Book
    Restricted access to the UPC academic community
    Aquest recull de problemes resolts de càlcul infinitesimal d'una variable va adreçat als estudiants de primer curs d'enginyeries de cicle llarg i, en particular, als de l'ETSEIB. Aquest text posa a l'abast dels estudiants ...
  • Classi fication of monogenic invariant subspaces and uniparametric linear control systems 

    Compta Creus, Albert; Ferrer Llop, Josep (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 ...
  • Controllability of continuous bimodal linear systems 

    Ferrer Llop, Josep; Pacha Andújar, Juan Ramón; Peña Carrera, Marta (2013-05-01)
    Article
    Open Access
    We consider bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. We prove that the study of controllability can be reduced ...
  • Derivaciones en álgebras de Banach y de Fréchet 

    Ferrer Llop, Josep (Escola Tècnica Superior d'Enginyers Industrials de Barcelona, 1980-01)
    Article
    Open Access
  • Determinant of a matrix that commutes with a Jordan matrix 

    Montoro López, María Eulalia; Ferrer Llop, Josep; Mingueza, David (Elsevier, 2013-10-30)
    Article
    Restricted access - publisher's policy
    Let F be an arbitrary field, Mn(F) the set of all matrices n×n over F and J∈Mn(F) a Jordan matrix. In this paper, we obtain an explicit formula for the determinant of any matrix that commutes with J, i.e., the determinant ...
  • Differentiable families of planar bimodal linear control systems 

    Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Peña Carrera, Marta (2014-06)
    Article
    Open Access
    We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane, assuming continuity along it. For a differentiable family of planar bimodal linear control systems, we ...
  • Differentiable families of stabilizers for planar bimodal linear control systems 

    Ferrer Llop, Josep; Magret Planas, Maria dels Dolors; Peña Carrera, Marta (American Institute of Physics (AIP), 2013)
    Conference report
    Open Access
    We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. For a differentiable family of controllable planar ...
  • 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 ...
  • Distance from a controllable switched linear system to an uncontrollable one 

    Clotet Juan, Josep; Ferrer Llop, Josep; Magret Planas, Maria dels Dolors (Servicio de publicaciones de la UPV, 2010)
    Conference lecture
    Open Access
    The set of controllable switched linear systems is an open set in the space of all switched linear systems. Then it makes sense to compute the distance from a controllable switched linear system to the set of uncontrollable ...
  • Fluxos en xarxes 

    Ferrer Llop, Josep (2018-04-24)
    Audiovisual
    Open Access
  • 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. ...
  • Global block-similarity and pole assignment of class C<sup>p</sup> 

    Ferrer Llop, Josep; Puerta Sales, Ferran (1998)
    Article
    Open Access
    Starting from the existence of a $C^{p}$-basis for any $C^{p}$-family of subspaces having constant dimension, we construct a Brunovsky basis of class $C^{p}$ for a $C^{p}$-family of pairs of matrices having constant ...