Now showing items 21-30 of 30

    • Output regulation problem for differentiable families of linear systems 

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

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

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

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (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 ...
    • Perturbed marked reduced forms of invariant subspaces 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (Elsevier, 2018-12-15)
      Article
      Open Access
      The classification of invariant subspaces is an open problem related to other important ones like the Carlson problem. Here we obtain a reduced form of these invariant subspaces as a new tool to tackle these problems. In ...
    • Realizations of perturbations of an observable pair with prescribed indices 

      Beitia, M.A.; Compta Creus, Albert; de Hoyos, Inmaculada; Peña Carrera, Marta (Elsevier, 2011)
      Article
      Restricted access - publisher's policy
      It is well known that, when a full rank observable pair (C,A) is slightly perturbed, the new observability indices k′ are majorized by the initial ones k, k≻k′. Conversely, any indices k′ majorized by k can be obtained by ...
    • Simultaneous versal deformations of endomorphisms and invariant subspaces 

      Compta Creus, Albert; Helmke, Uwe; Peña Carrera, Marta; Puerta Coll, Xavier (2004)
      Article
      Open Access
      We 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. ...
    • State canonical form for a class of uncontrollable linear systems 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (Taylor & Francis, 2019-10-16)
      Article
      Open Access
      We tackle the obtaining of canonical forms for classifying linear control systems with regard to changes in the state variables. Although it was solved in the 1980s for controllable systems, it is still an open problem for ...
    • Structural stability of (C,A)-marked and observable subspaces 

      Compta Creus, Albert; Peña Carrera, Marta (2005)
      Article
      Open Access
      Given an observable pair of matrices (C;A) we consider the manifold of (C;A)-invariant and observable subspaces having a fixed Brunovsky- Kronecker structure. Using Arnold’s techniques we obtain the explicit form of a ...
    • Use of reduced forms in the disturbance decoupling problem 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (Elsevier, 2009-03)
      Article
      Restricted access - publisher's policy
      Specific algorithms, such as those involving the supremal of the invariant subspaces contained in a suitable subspace, are known to be able to test whether a disturbance decoupling problem (DDP) is solvable. Here, by ...