المستودع الأكاديمي جامعة المدينة

Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications

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dc.creator Barbero-Liñán, María
dc.creator Echeverría-Enríquez, Arturo
dc.creator Martín de Diego, David
dc.creator Muñoz-Lecanda, Miguel C.
dc.creator Roman-Roy, Narciso
dc.date 2007-12-04T17:30:41Z
dc.date 2007-12-04T17:30:41Z
dc.date 2007-10-18
dc.date.accessioned 2017-01-31T00:59:22Z
dc.date.available 2017-01-31T00:59:22Z
dc.identifier arXiv:0705.2178v2
dc.identifier http://hdl.handle.net/10261/2525
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2525
dc.description Published in: Journal of Physics A: Mathematical and Theoretical, 40 (2007) 12071–12093 (Institute of Physics, ISSN 1751-8121)
dc.description 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).
dc.description We acknowledge the financial support of Ministerio de Educación y Ciencia, Projects MTM2005-04947, MTM2004-7832, and S-0505/ESP/0158 of the CAM. One of us (MBL) also acknowledges the financial support of the FPU grant AP20040096.
dc.description Peer reviewed
dc.language eng
dc.relation Preprint
dc.rights openAccess
dc.subject Lagrangian and Hamiltonian formalisms
dc.subject Jet bundles
dc.subject Implicit optimal control
dc.subject Descriptor systems
dc.title Skinner-Rusk Unified Formalism for Optimal Control Systems and Applications
dc.type Pre-print


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