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We prove a Noether-type symmetry theorem for invariant optimal controlproblems with unrestricted controls. The result establishes weak conservationlaws along all the minimizers of the problems, including those minimizers whichdo 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

Weak conservation laws for minimizers which are not pontryagin extremals