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Title: Symbolic computation of variational symmetries in optimal control
Authors: 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

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