Symbolic Computation of Variational Symmetries in Optimal Control
Optimization and Control
2007-10-14 v1
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).
Keywords
Cite
@article{arxiv.math/0604072,
title = {Symbolic Computation of Variational Symmetries in Optimal Control},
author = {Paulo D. F. Gouveia and Delfim F. M. Torres and Eugenio A. M. Rocha},
journal= {arXiv preprint arXiv:math/0604072},
year = {2007}
}
Comments
Presented at the 4th Junior European Meeting on "Control and Optimization", Bialystok Technical University, Bialystok, Poland, 11-14 September 2005. Accepted (24-Feb-2006) to Control & Cybernetics