Weak Conservation Laws for Minimizers which are not Pontryagin Extremals

DOI10.1109/PHYCON.2005.1513965arXivmath/0503415WikidataQ57651270 ScholiaQ57651270MaRDI QIDQ6475277

Publication date: 21 March 2005

Abstract: 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.

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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