| dc.contributor.author | Barbero Liñán, María |
| dc.contributor.author | Muñoz Lecanda, Miguel Carlos |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2007-08-01T18:54:42Z |
| dc.date.available | 2007-08-01T18:54:42Z |
| dc.date.issued | 2007-07-27 |
| dc.identifier.citation | Barbero Liñán, M.; Muñoz Lecanda, M.C. Constraint algorithm for extremals in optimal control problems. "International journal of geometric methods in modern physics", 27 Juliol 2007, vol. 6, núm. 7, p. 1221-1233. |
| dc.identifier.uri | http://hdl.handle.net/2117/1167 |
| dc.description.abstract | A 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 such problems. Some
necessary conditions of Pontryagin’s Maximum Principle determine the primary
constraint submanifold for the algorithm. Some examples in the control literature,
such as subRiemannian geometry and control-affine systems, are revisited
to give, in a clear geometric way, a subset where the abnormal, normal and strict
abnormal extremals stand. |
| dc.format.extent | 21 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Differential equations |
| dc.subject.lcsh | Optimization (Mathematics) |
| dc.subject.lcsh | Lagrangian functions |
| dc.subject.lcsh | Hamiltonian dynamical systems |
| dc.subject.other | Pontryagin’s Maximum Principle |
| dc.subject.other | abnormality |
| dc.subject.other | optimal control problems |
| dc.subject.other | presymplectic |
| dc.title | Constraint algorithm for extremals in optimal control problems |
| dc.type | Article |
| dc.subject.lemac | Equacions diferencials ordinàries |
| dc.subject.lemac | Control òptim, Teoria del |
| dc.subject.lemac | Sistemes dinàmics diferenciables |
| dc.subject.lemac | Lagrange, Funcions de |
| dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34A General theory |
| dc.subject.ams | Classificació AMS::49 Calculus of variations and optimal control; optimization::49J Existence theories |
| dc.subject.ams | Classificació AMS::49 Calculus of variations and optimal control; optimization::49K Necessary conditions and sufficient conditions for optimality |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70G General models, approaches, and methods |
| dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics |
| dc.rights.access | Open Access |
| local.identifier.drac | 3102954 |
| local.citation.publicationName | International journal of geometric methods in modern physics |
| local.citation.volume | 6 |
| local.citation.number | 7 |
| local.citation.startingPage | 1221 |
| local.citation.endingPage | 1233 |
