Author(s):
Torres, D.F.M. 
Date: 2003
Persistent ID: http://hdl.handle.net/10773/4101
Origin: RIA - Repositório Institucional da Universidade de Aveiro
Document details
Gauge symmetries and Noether currents in optimal control
Description
We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
We extend the second Noether theorem to optimal control problems which are invariant under symmetries depending upon k arbitrary functions of the independent variable and their derivatives up to some order m. As far as we consider a semi-invariance notion, and the transformation group may also depend on the control variables, the result is new even in the classical context of the calculus of variations.
Document Type
Article
Language English
Language English
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