Gauge Symmetries and Noether Currents in Optimal Control

Details Gauge Symmetries and Noether Currents in Optimal Control Gauge Symmetries and Noether Currents in Optimal Control

2003-01-11

arxiv.org/abs/math/0301116v1

Appl. Math. E-Notes 3 (2003), 49--57 (electronic).

Mathematics

Optimization and Control

Partially presented at the 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, September 5-7, 20

Scientific paper

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.

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