Výsledky vyhledávání - "Xavier Puerta"

On the perturbation of bimodal control linear systems

Autor: M. Eulalia Montoro, Ferran Puerta, Xavier Puerta

Publikováno v: Systems & Control Letters. 80:1-8

The aim of this paper is the study of local perturbations of a bimodal system which consists of two linear control systems on each side of a given hyperplane. We follow Arnold’s technique based on obtaining a miniversal deformation corresponding to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2b6a896ac4f09e1a44e700bd75dbee0a
https://doi.org/10.1016/j.sysconle.2015.03.001

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On the geometry of the generalized partial realization problem

Autor: Ion Zaballa, F. Puerta, Itziar Baragaña, Xavier Puerta

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The 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 with the geometry of the c

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https://doi.org/10.1007/s00498-010-0051-6

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Simultaneous versal deformations of endomorphisms and invariant subspaces

Autor: Uwe Helmke, Xavier Puerta, Albert Compta, Marta Peña

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

We study the set M of pairs (f, V), defined by an endomorphism f of F n 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. We apply this study to derive c

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On the parametrization of the controllability subspaces of a controllable pair

Autor: Ion Zaballa, Xavier Puerta, F. Puerta

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Given 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 strata by means of coordinate cha

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https://doi.org/10.1016/j.laa.2004.11.030

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Perturbation of quadrics

Autor: Xavier Puerta, Josep Clotet, M. Dolors Magret

Publikováno v: Linear Algebra and its Applications. 355(1-3):223-239

The 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 such that a small perturbation on the coefficien

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Global reduction to the Kronecker canonical form of a Cr-family of time-invariant linear systems

Autor: F. Puerta, Xavier Puerta, Josep Ferrer

Publikováno v: Linear Algebra and its Applications. 346(1-3):27-45

We present an approach to the Kronecker equivalence of quadruples of matrices (A, B,C, D) based on a natural equivalence relation between pairs of linear mappings. We apply this approach to smooth families of quadruples of constant Kronecker type, ob

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The topology of the set of conditioned invariant subspaces

Autor: Uwe Helmke, Xavier Puerta

Publikováno v: Systems & Control Letters. 40:97-105

We consider the topology of the set of conditioned invariant subspaces of an observable pair (C,A) of a fixed dimension. By fixing the observability indices of the restricted system, a stratification by finitely many smooth manifolds is obtained, ter

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3402e4bd24d81665e8f96e59d7388a87
https://doi.org/10.1016/s0167-6911(00)00006-2

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Differentiable structure of the set of controllable (A,B)t-invariant subspaces

Autor: Xavier Puerta, F. Puerta, Josep Ferrer

Publikováno v: Linear Algebra and its Applications. :161-177

Given (A,B)t ∈ Hom( C n, C n+m) observable, we prove that the set of (A,B)t-invariant subspaces having a fixed Brunovsky-Kronecker structure is a connected manifold, and we compute its dimension. Also, we include some applications of these results.

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https://doi.org/10.1016/s0024-3795(97)10062-3

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Stability of ( A, B )-Invariant Subspaces

Autor: Xavier Puerta, F. Puerta

Publikováno v: IFAC Proceedings Volumes. 37:33-35

Given 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 such that ( A + BF ) S

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::37dccc24cffe101163116ca7c7949bd0
https://doi.org/10.1016/s1474-6670(17)30439-1

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