Please use this identifier to cite or link to this item:
Title: Symbolic computation of variational symmetries in optimal control
Author: Gouveia, Paulo D.F.
Torres, Delfim F.M.
Rocha, Eugénio A.M.
Keywords: Variational symmetries
Gauge term
Nonconservative forces
Computer algebra systems
Noether’s theorem
First integrals
Optimal control
Issue Date: 2006
Publisher: Systems Research Institute of the Polish Academy of Sciences
Citation: Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006) - Symbolic computation of variational symmetries in optimal control. Control & Cybernetics. ISSN 0324-8569. 35:4, p. 831-849
Abstract: We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether’s first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for the sub-Riemannian nilpotent problem (2, 3, 5, 8).
ISSN: 0324-8569
Appears in Collections:IC - Artigos em Revistas Não Indexados ao ISI/Scopus

Files in This Item:
File Description SizeFormat 
GouveiaTorresRocha.pdf234,43 kBAdobe PDFView/Open

FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.