Symbolic Computation of Variational Symmetries in Optimal Control

Details Symbolic Computation of Variational Symmetries in Optimal Control Symbolic Computation of Variational Symmetries in Optimal Control

2006-04-04

arxiv.org/abs/math/0604072v1

Control Cybernet. 35 (2006), no. 4, 831--849.

Mathematics

Optimization and Control

Presented at the 4th Junior European Meeting on "Control and Optimization", Bialystok Technical University, Bialystok, Poland,

Scientific paper

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).

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