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Showing 2003 · math.OCShow all
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math.OC2003
A Proper Extension of Noether's Symmetry Theorem for Nonsmooth Extremals of the Calculus of Variations
Delfim F. M. Torres
For nonsmooth Euler-Lagrange extremals, Noether's conservation laws cease to be valid. We show that Emmy Noether's theorem of the calculus of variations is still valid in the wider…
math.OC2003
Integrals of Motion for Discrete-Time Optimal Control Problems
Delfim F. M. Torres
We obtain a discrete time analog of E. Noether's theorem in Optimal Control, asserting that integrals of motion associated to the discrete time Pontryagin Maximum Principle can be…