1 research outputs found
Weak Conservation Laws for Minimizers which are not Pontryagin Extremals
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.Comment: Accepted for presentation (Paper No: 113) at the 2nd International
Conference "Physics and Control" (PhysCon 2005), August 24-26, 2005, Saint
Petersburg, Russia. To appear in the respective Conference Proceeding