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Advisor(s)
Abstract(s)
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).
Description
Keywords
Variational symmetries Gauge term Nonconservative forces Computer algebra systems Noether’s theorem First integrals Optimal control
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
Publisher
Systems Research Institute of the Polish Academy of Sciences