Výsledky vyhledávání - "Albert Compta"

Perturbed marked reduced forms of invariant subspaces

Autor: Albert Compta, Josep Ferrer, Marta Peña

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

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 particular, it allows us to p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fee4d1646bca622f3ad39e6678f81b28
https://doi.org/10.1016/j.laa.2018.09.009

Zobrazit plný text záznamu

State canonical form for a class of uncontrollable linear systems

Autor: Josep Ferrer, Albert Compta, Marta Peña

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

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 the general case of multipa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b09e308ec4e481e9bbd9f99002b7b174
https://hdl.handle.net/2117/329863

Zobrazit plný text záznamu

Akademický článek

Two Coincidence Theorems

Autor: Creus, Albert Compta

Publikováno v: Publicacions de la Secció de Matemàtiques, 1981 Jun 01(25), 91-95.

Externí odkaz: https://www.jstor.org/stable/43741887

Zobrazit plný text záznamu

Realizations of perturbations of an observable pair with prescribed indices

Autor: Albert Compta, Marta Peña, I. Hoyos de, MaAsunción Beitia

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

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 perturbing (C,A). Th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::172133c9921aecc325f294e0c8c30cc7
https://doi.org/10.1016/j.laa.2010.11.009

Zobrazit plný text záznamu

Local differentiable pole assignment

Autor: Josep Ferrer, Albert Compta, Marta Peña

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

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 point out that no additional hyp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f618e4f45262cdb13b197af4682c8b61
https://doi.org/10.1080/03081080902745304

Zobrazit plný text záznamu

The change of feedback invariants under column perturbations: particular cases

Autor: Marta Peña, Inmaculada de Hoyos, M. Asunción Beitia, Albert Compta

Publikováno v: Linear and Multilinear Algebra. 58:45-59

We study the variation of the feedback invariants of a complex rectangular n × (n + m) matrix when we make small additive perturbations to the elements of the last m columns. First of all, we obtain necessary conditions for the feedback invariants o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4ed9b262e336b53d2493565b8def69f8
https://doi.org/10.1080/03081080802086296

Zobrazit plný text záznamu

Use of reduced forms in the disturbance decoupling problem

Autor: Albert Compta, Josep Ferrer, Marta Peña

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

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 reducing the system to its Molina

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b77b687fd6b6c9bc618263fa9a17fb5e

Zobrazit plný text záznamu

Structural stability of (C,A)-marked subspaces

Autor: Marta Peña, Albert Compta

Publikováno v: Linear Algebra and its Applications. 421(1):45-52

Given an observable pair of matrices ( C , A ) we consider the manifold of ( C , A )-invariant subspaces having a fixed Brunovsky–Kronecker structure. Using Arnold techniques we obtain the explicit form of a miniversal deformation of a marked ( C ,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76c66a5b4038a2f97107f35736651474

Zobrazit plný text záznamu

Geometric classification of monogenic subspaces and uniparametric linear control systems

Autor: Albert Compta, Josep Ferrer

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

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 are derived: canonical c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3965fd4201fcffa194da8144c132c796

Zobrazit plný text záznamu

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd1ab1addf1d0b716fb8de0a0693c5cf

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání