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An Optimal Control Approach to Herglotz Variational Problems (1412.0433v1)
Published 1 Dec 2014 in math.OC
Abstract: We address the generalized variational problem of Herglotz from an optimal control point of view. Using the theory of optimal control, we derive a generalized Euler-Lagrange equation, a transversality condition, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's fundamental problem, valid for piecewise smooth functions.
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