Title :
On the Noether theorem for optimal control
Author_Institution :
Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
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.
Keywords :
optimal control; E. Noether theorem generalization; Noether theorem; optimal control problems; smooth map one-parameter family; Calculus; Context; Geometry; Optimal control; Relativistic quantum mechanics; Noether´s theorem; Pontryagin extremals; calculus of variations; first integrals; optimal control;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
