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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: Universidade de Aveiro
Citation: Gouveia, Paulo D.F.; Torres, Delfim F.M.; Rocha, Eugénio A.M. (2006) - Symbolic computation of variational symmetries in optimal control. Cadernos de Matemática. CM06/I-02.
Series/Report no.: CM06/I-02;
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).
Appears in Collections:IC - Relatórios Técnicos/Científicos

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