Now showing items 1-20 of 34

• #### A sufficient condition for Lipschitz stability of controlled Invariant subspaces ﻿

(2009-12)
Article
Restricted access - publisher's policy
Given a pair of matrices (A,B) we study the Lipschitz stability of its controlled invariant subspaces. A sufficient condition is derived from the geometry of the set formed by the quadruples (A,B, F, S) where S is ...

(2018-04-10)
Audiovisual
Open Access
• #### Bifurcation diagram for saddle/source bimodal linear dynamical systems ﻿

(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 ﻿

(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 ...
• #### Controllability of continuous bimodal linear systems ﻿

(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 ...
• #### Deformaciones miniversales de parejas de tensores de segundo orden ﻿

Conference report
Open Access
Consideramos en el espacio de parejas de tensores tension y deformacion la relacion de equivalencia que se corresponde con cambios de base ortonormales. Identificandolas con parejas de matrices cuadradas, podemos utilizar ...
• #### Differentiable families of planar bimodal linear control systems ﻿

(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 ﻿

(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 ﻿

(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 ...
• #### Geometric structure of single/combined equivalence classes of a controllable pair ﻿

(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 ﻿

(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. ...
• #### Learning automation to teach mathematics ﻿

(InTech, 2012-07)
Part of book or chapter of book
Open Access
• #### Learning engineering to teach mathematics ﻿

(2010)
Conference report
Open Access
The Bologna process is a good opportunity to bring together first-year mathematics courses of engineering degrees and technology courses offered in subsequent years. In fact, the Faculty Council has decided that 20% ...
• #### Local differentiable pole assignment ﻿

(Taylor & Francis, 2010)
Article
Open Access
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 ...
• #### Mentoring female high school students for a STEM career ﻿

(Institute of Electrical and Electronics Engineers (IEEE), 2018)
Conference report
Restricted access - publisher's policy
This Innovative Practice Work in Progress Paper presents a pilot test designed to train university students of engineering degrees (mentors) to advise and guide students aged between 15 and 16 (mentees) in technological ...
• #### Miniversal Deformations of Bimodal Picewise Linear Systems ﻿

(Servicio de publicaciones de la UPV, 2010)
Conference lecture
Open Access
Bimodal linear systems are those consisting of two linear systems on each side of a given hyperplane, having continuous dynamics along that hyperplane. In this work, we focus on the derivation of (orthogonal) miniversal ...
• #### Miniversal deformations of observable marked matrices ﻿

(2014)
Article
Restricted access - publisher's policy
Given the set of vertical pairs of matrices ${\cal M}\subset M_{m,n}(\mathbb C)\times M_n(\mathbb C)$ keeping the subspace $\mathbb C^d\times\{0\}\subset\mathbb C^n$ invariant,we compute miniversal deformations of a given ...
• #### Miniversal deformations of observable marked matrices ﻿

(2012)
External research report
Open Access
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invariant, we compute miniversal deformations of a given pair when it is observable and the subspace Cd × {0} is marked. ...
• #### On the effect of friend feedbacks ﻿

(2009)
Article
Open Access
Given S an (A;B)-invariant subspace, we prove that the set of friend feedbacks is a (nm¡md+dq)-dimensional linear variety, which can be considered as the direct sum of the feedbacks of the restriction to S and the ...
• #### On the effect of friend feedbacks ﻿

(2011)
Article
Restricted access - publisher's policy
Given S an (A,B)-invariant subspace, we prove that the set of friend feedbacks is a linear variety, which can be considered as the direct sum of the feedbacks of the restriction to S and the co-restriction to S ⊥. In ...