Now showing items 21-30 of 30

    • On some aspects of the geometry of non integrable distributions and applications 

      Muñoz Lecanda, Miguel Carlos (American Institute of Mathematical Sciences, 2018-12-01)
      Article
      Open Access
      We consider a regular distribution D in a Riemannian manifold (M, g). The LeviCivita connection on (M, g) together with the orthogonal projection allow to endow the space of sections of D with a natural covariant derivative, ...
    • Optimal control problems for affine connection control systems: characterization of extremals 

      Barbero Liñán, María; Muñoz Lecanda, Miguel Carlos (American Institute of Physics, 2008-02)
      Conference report
      Open Access
      Pontryagin’s Maximum Principle [8] is considered as an outstanding achievement of optimal control theory. This Principle does not give sufficient conditions to compute an optimal trajectory; it only provides necessary ...
    • Origen y desarrollo histórico del cálculo infinitesimal 

      Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Edicions UPC, 1999)
      Book
      Restricted access to the UPC academic community
      Esta obra intenta dar una visión de la evolución histórica del cálculo infinitesimal: Los problemas originales en el siglo XVII, la aportación realizada por Newton y Leibnitz que consistió fundamentalmente en efectuar una ...
    • Remarks on multisymplectic reduction 

      Echeverría Enríquez, Arturo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2018-06-01)
      Article
      Open Access
      The problem of reduction of multisymplectic manifolds by the action of Lie groups is stated and discussed, as a previous step to give a fully covariant scheme of reduction for classical field theories with symmetries.
    • Skinner-Rusk formalism for optimal control 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2006-12)
      Article
      Open Access
      In 1983, the dynamics of a mechanical system was represented by a first-order system on a suitable phase space by R. Skinner and R. Rusk. The corresponding unified formalism developed for optimal control systems allows us ...
    • Skinner-Rusk unified formalism for optimal control systems and applications 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2007-05-15)
      Article
      Open Access
      A geometric approach to time-dependent optimal control problems is proposed. This formulation is based on the Skinner and Rusk formalism for Lagrangian and Hamiltonian systems. The corresponding unified formalism developed ...
    • Strict abnormal extremals in nonholonomic and kinematic control systems 

      Barbero Liñán, María; Muñoz Lecanda, Miguel Carlos (2008-06)
      Article
      Open Access
      In optimal control problems, there exist different kinds of extremals, that is, curves candidates to be solution: abnormal, normal and strictly abnormal. The key point for this classification is how those extremals ...
    • Structural aspects of Hamilton–Jacobi theory 

      Cariñena Marzo, José F.; Gràcia Sabaté, Francesc Xavier; Marmo, Giuseppe; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2016-02-01)
      Article
      Open Access
      In our previous papers [11, 13] we showed that the Hamilton–Jacobi problem can be regarded as a way to describe a given dynamics on a phase space manifold in terms of a family of dynamics on a lower-dimensional manifold. ...
    • Unified formalism for non-autonomous mechanical systems 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (AIP, 2008-06-01)
      Working paper
      Open Access
      We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk (1983). ...
    • Unified formalism for non-autonomous mechanical systems 

      Barbero Liñán, María; Echeverría Enríquez, Arturo; Martín de Diego, David; Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (2008-02-29)
      Article
      Open Access
      We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of regular and non-regular time-dependent mechanical systems, which is based on the approach of Skinner and Rusk ...