On the Noether theorem for optimal control

Torres DFM

EUROPEAN JOURNAL OF CONTROL 8 (1): 56-63 2002

Document type: Article     Language: English

Abstract: We obtain a generalization of E. Noether's theorem for
the optimal control problems. The generalization involves a
one-parameter family of smooth maps which may depend also on the
control and a Lagrangian which is invariant up to an addition of
an exact differential.

Author Keywords: calculus of variations, first integrals,
Noether's theorem, optimal control, Pontryagin extremals

Addresses: Torres DFM, Univ Aveiro, Dept Math, P-3810193 Aveiro,
Portugal Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

Publisher: HERMES SCIENCE PUBLICATION, 8 QUAI DU MARCHE-NEUF,
75004 PARIS, FRANCE

IDS Number: 639LZ

ISSN: 0947-3580