Weak Conservation Laws for Minimizers which are not Pontryagin Extremals

Details Weak Conservation Laws for Minimizers which are not Pontryagin Extremals Weak Conservation Laws for Minimizers which are not Pontryagin Extremals

2005-03-21

arxiv.org/abs/math/0503415v1

Proceedings of the 2005 International Conference "Physics and Control" (PhysCon 2005, edited by A.L. Fradkov and A.N. Churilov

Mathematics

Optimization and Control

Accepted for presentation (Paper No: 113) at the 2nd International Conference "Physics and Control" (PhysCon 2005), August 24-

Scientific paper

10.1109/PHYCON.2005.1513965

We prove a Noether-type symmetry theorem for invariant optimal control
problems with unrestricted controls. The result establishes weak conservation
laws along all the minimizers of the problems, including those minimizers which
do not satisfy the Pontryagin Maximum Principle.

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