Nonconservative Noether's Theorem in Optimal Control
Frederico, Gastao S. F. ; Torres, Delfim F. M.
arXiv, 0512468 / Harvested from arXiv
Text on arXiv
We extend Noether's theorem to dynamical optimal control systems being under the action of nonconservative forces. A systematic way of calculating conservation laws for nonconservative optimal control problems is given. As a corollary, the conserved quantities previously obtained in the literature for nonconservative problems of mechanics and the calculus of variations are derived.
Publié le : 2005-12-20
Classification:  Mathematics - Optimization and Control,  Mathematical Physics,  49K05,  49K15,  49S05,  70H33,  37J15,  93C10 
@article{0512468,
     author = {Frederico, Gastao S. F. and Torres, Delfim F. M.},
     title = {Nonconservative Noether's Theorem in Optimal Control},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512468}
}

Frederico, Gastao S. F.; Torres, Delfim F. M. Nonconservative Noether's Theorem in Optimal Control. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512468/