Noether's Symmetry Theorem for Variational and Optimal Control Problems with Time Delay
arXiv:1203.3656 · doi:10.3934/naco.2012.2.619
Abstract
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.
This is a preprint of a paper whose final and definite form will appear in the international journal Numerical Algebra, Control and Optimization (NACO). Paper accepted for publication 15-March-2012
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