Symbolic Computation of Variational Symmetries in Optimal Control

Research paper by Paulo D. F. Gouveia, Delfim F. M. Torres, Eugenio A. M. Rocha

Indexed on: 04 Apr '06Published on: 04 Apr '06Published in: Mathematics - Optimization and Control


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).