Please use this identifier to cite or link to this item:
http://hdl.handle.net/10261/2525
Share/Export:
![]() |
|
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |
Title: | Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications |
Authors: | Barbero-Liñán, María; Echeverría-Enríquez, Arturo; Martín de Diego, David ; Muñoz-Lecanda, Miguel C.; Roman-Roy, Narciso | Keywords: | Lagrangian and Hamiltonian formalisms Jet bundles Implicit optimal control Descriptor systems |
Issue Date: | 18-Oct-2007 | Citation: | arXiv:0705.2178v2 | Abstract: | 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 for optimal control systems allows us to formulate geometrically the necessary conditions given by Pontryagin's Maximum Principle, providing that the differentiability with respect to controls is assumed and the space of controls is open. Furthermore, our method is also valid for implicit optimal control systems and, in particular, for the so-called descriptor systems (optimal control problems including both differential and algebraic equations). | Description: | Published in: Journal of Physics A: Mathematical and Theoretical, 40 (2007) 12071–12093 (Institute of Physics, ISSN 1751-8121) | URI: | http://hdl.handle.net/10261/2525 |
Appears in Collections: | (ICMAT) Artículos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Skinner.pdf | 437,8 kB | Adobe PDF | ![]() View/Open |
Review this work
Page view(s)
359
checked on May 23, 2022
Download(s)
211
checked on May 23, 2022
Google ScholarTM
Check
WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.