Browsing by Author "Martín de Diego, David"

Now showing items 1-5 of 5

    • Global controllability tests for geometric hybrid control systems 

      Barberó Liñan, María; Cortés, Jorge; Martín de Diego, David; Martínez, Sonia; Muñoz Lecanda, Miguel Carlos (2020-11-01)
      Article
      Open Access
      This paper introduces a novel geometric framework to define and study hybrid systems. We exploit the geometry and topology of the set of jump points, where the instantaneous change of dynamics takes place, in order to gain ...

    • 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 ...

    • 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 ...

    • 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). ...