Optimality conditions (In Pontryagin form)

Autor: Marco Mazzola, Daniela Tonon, Teresa Scarinci, Andrea Boccia, Luong V. Nguyen, Cédric M. Campos, Francisco J. Silva, Maria Soledad Aronna, Michele Palladino

Publikováno v: Optimal Control: Novel Directions and Applications
Optimal Control: Novel Directions and Applications, 2180, Springer, pp.1-125, 2017, Lectures Notes in Mathematics, ⟨10.1007/978-3-319-60771-9_1⟩
Optimal Control: Novel Directions and Applications ISBN: 9783319607702

This chapter aims at being a friendly presentation of various results related to optimality conditions of Optimal Control problems. Different classes of systems are considered, such as equations with time delays and/or state constraints, dynamics aff

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31ad224a24cf1d497c277460b2d08994
http://hdl.handle.net/11577/3389247

Discrete Lagrange-d’Alembert-Poincaré equations for Euler’s disk

Autor: Viviana Alejandra Díaz, David Martín de Diego, Cédric M. Campos, Hernán Cendra

Publikováno v: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 106:225-234

Nonholonomic systems are described by the Lagrange-d’Alembert principle. The presence of symmetry leads to a reduced d’Alembert principle and to the Lagrange-d’Alembert-Poincare equations. First, we briefly recall from previous works how to obt

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3a84d738d4e846470ff79d1889438ce8
https://doi.org/10.1007/s13398-011-0053-3

Higher Order Variational Integrators: a polynomial approach

Autor: Cédric M. Campos

Publikováno v: Advances in Differential Equations and Applications
Advances in Differential Equations and Applications, 4, pp.249-258, 2014, SEMA SIMAI Springer Series, 978-3-319-06952-4. ⟨10.1007/978-3-319-06953-1_24⟩
Advances in Differential Equations and Applications ISBN: 9783319069524
Advances in Differential Equations and Applications, pp.249-258, 2014, SEMA SIMAI Springer Series, 978-3-319-06952-4. ⟨10.1007/978-3-319-06953-1_24⟩

12 pages, 1 table, 23rd Congress on Differential Equations and Applications, CEDYA 2013; International audience; We reconsider the variational derivation of symplectic partitioned Runge-Kutta schemes. Such type of variational integrators are of great

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79e6f0807993257d07811eb0302ffdce
https://inria.hal.science/hal-01122917

Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds

Autor: Cédric M. Campos, Elisa Guzmán, Juan Carlos Marrero

A description of classical field theories of first order in terms of Lagrangian submanifolds of premultisymplectic manifolds is presented. For this purpose, a Tulczyjew's triple associated with a fibration is discussed. The triple is adapted to the e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d920b5a866e949ea5b9b9bf23582af2
http://arxiv.org/abs/1110.4778

Unambiguous formalism for higher order Lagrangian field theories

Autor: David Martín de Diego, Cédric M. Campos, Manuel de León, Joris Vankerschaver

Publikováno v: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

The aim of this paper is to propose an unambiguous intrinsic formalism for higher-order field theories which avoids the arbitrariness in the generalization of the conventional description of field theories, which implies the existence of different Ca

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::205cff0d574dc8801588d1ce66120174
https://resolver.caltech.edu/CaltechAUTHORS:20100108-102537420