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We obtain a version of Noether's invariance theorem for optimal controlproblems with a finite number of cost functionals. The result is obtained byformulating E. Noether's result to optimal control problems subject toisoperimetric constraints, and then using the unimprovable (Pareto) notion ofoptimality. A result of this kind was posed to the author, as a mathematicalopen question, of great interest in applications of control engineering, by A.Gugushvili.Comment: To appear (paper ID: 131) in the Conference Proceedings of ICMSAO'05  -- First International Conference on Modeling, Simulation and Applied  Optimization, February 1-3 2005, American University of Sharjah, United Arab  Emirate

A Noether Theorem on Unimprovable Conservation Laws for Vector-Valued Optimization Problems in Control Theory