Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay

Details Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay

2012-03-16

arxiv.org/abs/1203.3656v1

Mathematics

Dynamical Systems

This is a preprint of a paper whose final and definite form will appear in the international journal Numerical Algebra, Contro

Scientific paper

We extend the DuBois-Reymond necessary optimality condition and Noether's
symmetry theorem to the time delay variational setting. Both Lagrangian and
Hamiltonian versions of Noether's theorem are proved, covering problems of the
calculus of variations and optimal control with delays.

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