Exploració per autor "Muñoz Lecanda, Miguel Carlos"
Ara es mostren els items 26-39 de 39
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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
Accés obertWe 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)
Text en actes de congrés
Accés obertPontryagin’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 ... -
Optimal control, contact dynamics and Herglotz variational problem
de León Rodríguez, Manuel; Lainz Valcázar, Manuel; Muñoz Lecanda, Miguel Carlos (Springer Nature, 2022-11-11)
Article
Accés obertIn this paper, we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin maximum principle. As an important result, among others, we develop a contact Pontryagin maximum ... -
Origen y desarrollo histórico del cálculo infinitesimal
Muñoz Lecanda, Miguel Carlos; Román Roy, Narciso (Edicions UPC, 1999)
Llibre
Accés restringit a la comunitat UPCEsta 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
Accés obertThe 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
Accés obertIn 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
Accés obertA 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
Accés obertIn 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
Accés obertIn 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. ... -
Sundman transformation and alternative tangent structures
Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Institute of Physics (IOP), 2023-04-12)
Article
Accés obertA geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function ... -
The Herglotz principle and vakonomic dynamics
Muñoz Lecanda, Miguel Carlos; De León, Manuel; Lainz Valcázar, Manuel (Springer Nature, 2021-07-21)
Comunicació de congrés
Accés obertIn this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones tangent to a given submanifold. Then, we ... -
Time-dependent contact mechanics
de León Rodríguez, Manuel; Gaset Rifà, Jordi; Gràcia Sabaté, Francesc Xavier; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier (2022-09-16)
Article
Accés obertContact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to describe time-dependent contact systems: cocontact manifolds. Within this ... -
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
Accés obertWe 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
Accés obertWe 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). ...