Exploració per autor "Puerta Coll, Xavier"
Ara es mostren els items 7-26 de 31
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Global reduction to the Kronecker canonical form of a C^r-family of time-invariant linear systems
Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier (1999)
Article
Accés obertWe present a geometric approach to the study of time-invariant systems, represented by quadruples of matrices (A, B, C, D). Our main goal is, given a differentiable family of such quadruples having constant Kronecker type, ... -
MÈTODES MATEMÀTICS I (Examen 1r quadrimestre, 1r parcial)
Puerta Coll, Xavier (Universitat Politècnica de Catalunya, 2017-11-06)
Examen
Accés restringit a la comunitat UPC -
MÈTODES MATEMÀTICS I (Examen 1r quadrimestre, 2n parcial)
Puerta Coll, Xavier (Universitat Politècnica de Catalunya, 2018-01-10)
Examen
Accés restringit a la comunitat UPC -
MÈTODES MATEMÀTICS II (Examen 2n quadrimestre, 1r parcial)
Puerta Coll, Xavier (Universitat Politècnica de Catalunya, 2017-04-07)
Examen
Accés restringit a la comunitat UPC -
MÈTODES MATEMÀTICS II (Examen 2n quadrimestre, 1r parcial)
Sabater Pruna, M. Assumpta; Puerta Coll, Xavier (Universitat Politècnica de Catalunya, 2018-04-18)
Examen
Accés restringit a la comunitat UPC -
On the geometry of the generalized partial realization problem
Baragaña, Itziar; Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2010-09)
Article
Accés restringit per política de l'editorialThe 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
Accés obertFor 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
Accés obertGiven 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
Accés obertGiven 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 ... -
On the perturbation of bimodal systems
Puerta Coll, Xavier; Puerta Sales, Ferran (Servicio de publicaciones de la UPV, 2010)
Comunicació de congrés
Accés obertGiven a bimodal system de¯ned by the equations ½ x_ (t) = A1x(t) + Bu(t) if ctx(t) · 0 x_ (t) = A2x(t) + Bu(t) if ctx(t) ¸ 0 (1) where B 2Mn;m and Ai 2Mn, i = 1; 2, are such that A1;A2 coincide on the hyper- plane V ... -
On the stratifications of the set of $(A,B)$-invariant and controllability subspaces
Puerta Sales, Ferran; Puerta Coll, Xavier (2001)
Article
Accés obert -
Output Maximal Dimension for the Disturbance Decoupling Problem
Puerta Sales, Ferran; Puerta Coll, Xavier; Zaballa, Ion (2001)
Article
Accés obertGiven a linear time invariant system with a disturbance we describe a method of finding the maximal dimensional output for a generic Disturbance Decoupling problem. -
Perturbation of quadrics
Clotet Juan, Josep; Magret Planas, Maria dels Dolors; Puerta Coll, Xavier (2000)
Article
Accés obertThe aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R^n. Structurally stable quadrics are those a small perturbation ... -
Quadern de pràctiques amb Maple V
Bruguera Padró, Maria Montserrat; Ferrer Biosca, Alberto; Guillamon Grabolosa, Antoni; Mitjana Riera, Margarida; Pañella Brustenga, Francisco de Asís; Puerta Coll, Xavier; Rodríguez Jordana, Juan; Serrat Piè, Carles (Universitat Politècnica de Catalunya, 1999)
Apunts
Accés obert -
Simultaneous versal deformations of endomorphisms and invariant subspaces
Compta Creus, Albert; Helmke, Uwe; Peña Carrera, Marta; Puerta Coll, Xavier (2004)
Article
Accés obertWe study the set M of pairs (f; V ), defined by an endomorphism f of Fn and a d- dimensional f–invariant subspace V . It is shown that this set is a smooth manifold that defines a vector bundle on the Grassmann manifold. ... -
Stability of (A,B)-invariant subspaces
Peña Carrera, Marta; Puerta Coll, Xavier; Puerta Sales, Ferran (2005)
Article
Accés obertGiven a pair of matrices (A;B) we study the stability of their invariant subspaces from the geometry of the manifold of quadruples (A;B; S; F) where S is an (A;B)-invariant subspace and F is such that (A + BF)S ½ S. In ... -
Stability of <math>(A, B)</math>-invariant subspaces
Puerta Sales, Ferran; Puerta Coll, Xavier (2003)
Report de recerca
Accés obertGiven a pair of matrices (A,B) we study the stability of their invariant subspaces from a geometric point of view. The main tool is the manifold of quadruples((A;B); F; S) where S is an (A,B)-invariant subspace and F is ... -
Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier (2000)
Article
Accés obertWe extend some known results about the smooth stratification of the set of conditioned invariant subspaces for a general pair $(C,A)\in\w C^n\times\w C^{n+m}$ without any assumption on the observability. More precisely ... -
Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier (2003)
Article
Accés obertWe extend some known results about the smooth stratification of the set of conditioned invariant subspaces for a general pair $(C,A)\in\w C^n\times\w C^{n+m}$ without any assumption on the observability. More precisely ... -
Stratification and bundle structure of the set of general (A,B)-invariant subspaces
Ferrer Llop, Josep; Puerta Sales, Ferran; Puerta Coll, Xavier (1998)
Article
Accés obertGiven (A,B) in Hom(C^(n+m) C^n), we prove that the set of (A,B)-invariant subspaces having a fixed Brunovsky-Kronecker structure is a submanifold of the corresponding grassman manifold, and we compute its dimension. Also, ...