• Bounded solutions of self-adjoint second order linear difference equations with periodic coefficients 

      Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José (2018-02-25)
      Article
      Accés obert
      In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the ...
    • Construyendo soluciones en serie de potencias de modelos diferenciales aleatorios 

      Villafuerte, L.; Cortés, J.C.; Jódar, L. (Universitat Politècnica de Catalunya. CIMNE, 2010)
      Article
      Accés obert
      En este artículo se construyen soluciones analítico-numéricas de ecuaciones diferenciales lineales aleatorias a través de métodos basados en series de potencias y se dan condiciones suficientes para garantizar la convergencia ...
    • Control properties of multiagent dynamical systems modelling brain neural networks 

      García Planas, María Isabel (IEEE Computer Society Conference Publishing Services (CPS), 2020)
      Text en actes de congrés
      Accés obert
      The control of linear dynamical systems is a strategy that the brain uses to control its own intrinsic dynamics. The brain structure can be modelled as a networked system that is expressly interesting system to control ...
    • Explicit inverse of a tridiagonal (p,r)-Toeplitz matrix 

      Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José (Elsevier, 2018-04-01)
      Article
      Accés obert
      We have named tridiagonal (p,r)–Toeplitz matrix to those tridiagonal matrices in which each diagonal is a quasi–periodic sequence, d(p+j)=rd(j), so with period p¿N but multiplied by a real number r. We present here the ...
    • Explicit inverse of nonsingular Jacobi matrices 

      Encinas Bachiller, Andrés Marcos; Jiménez Jiménez, María José (2019-06-30)
      Article
      Accés obert
      We present here the necessary and sufficient conditions for the invertibility of tridiagonal matrices, commonly named Jacobi matrices, and explicitly compute their inverse. The techniques we use are related with the solution ...
    • On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory 

      Lázaro Ochoa, José Tomás; Morales Ruíz, Juan José; Acosta Humánez, Primitivo Belén; Pantazi, Chara (2012-01-12)
      Report de recerca
      Accés obert
      We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results ...
    • Set-membership parity space approach for fault detection in linear uncertain dynamic systems 

      Blesa Izquierdo, Joaquim; Puig Cayuela, Vicenç; Saludes Closa, Jordi; Fernández Canti, Rosa M. (2014-03-11)
      Article
      Accés obert
      In this paper, a set-membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived ...
    • Structural stability of matrix pencils and matrix pairs under contragredient equivalence 

      García Planas, María Isabel; Klymchuk, Tetiana (2019-01-01)
      Article
      Accés obert
      A complex matrix pencil A-¿B is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. ...
    • Tame systems of linear and semilinear mappings and representation-tame biquivers 

      Klymchuk, Tetiana (2016-02-26)
      Article
      Accés obert
      We study systems of linear and semilinear mappings considering them as representations of a directed graph G with full and dashed arrows: a representation of G is given by assigning to each vertex a complex vector space, ...