Exploració per autor "Barbero Liñán, María"
Ara es mostren els items 1-11 de 11
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A geometric study of abnormality in optimal control problems for control and mechanical control systems
(Universitat Politècnica de Catalunya, 2008-12-19)
Tesi
Accés obertDurant els darrers quaranta anys la geometria diferencial ha estat una eina fonamental per entendre la teoria de control òptim. Habitualment la millor estratègia per resoldre un problema és transformar-lo en un altre ... -
Characterization of accessibility for affine connection control systems at some points with nonzero velocity
(2011)
Comunicació de congrés
Accés restringit per política de l'editorialAffine connection control systems are mechanical control systems that model a wide range of real systems such as robotic legs, hovercrafts, planar rigid bodies, rolling pennies, snakeboards and so on. In 1997 the accessibility ... -
Constraint algorithm for extremals in optimal control problems
(2007-07-27)
Article
Accés obertA characterization of different kinds of extremals of optimal control problems is given if we take an open control set. A well known constraint algorithm for implicit differential equations is adapted to the study of ... -
Geometric approach to Pontryagin's Maximum Principle
(Springer Netherlands, 2008-10)
Article
Accés obertSince the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we ... -
Kinematic reduction and the Hamilton-Jacobi equation
(American Institute of Mathematical Sciences, 2012)
Article
Accés obertA close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric interpretation of this relationship ... -
Optimal control problems for affine connection control systems: characterization of extremals
(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 ... -
Skinner-Rusk formalism for optimal control
(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
(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
(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 ... -
Unified formalism for non-autonomous mechanical systems
(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
(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). ...
