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 Symbolic computation of variational symmetries in optimal control
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4144

title: Symbolic computation of variational symmetries in optimal control
authors: Gouveia, P.D.F.
Torres, D.F.M.
Rocha, E.A.M.
keywords: Computer algebra systems
First integrals
Gauge term
Noether's theorem
Nonconservative forces
Optimal control
Variational symmetries
issue date: 2006
publisher: Polish Academy of Sciences
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 a sub-Riemannian nilpotent problem (2, 3, 5, 8).
URI: http://hdl.handle.net/10773/4144
ISSN: 0324-8569
publisher version/DOI: http://control.ibspan.waw.pl:3000/contents/export?filename=Gouveia-et-al.pdf
source: Control and Cybernetics
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