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Noether's theorem for higher-order variational problems of Herglotz type (1507.05911v1)
Published 21 Jul 2015 in math.OC
Abstract: We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler-Lagrange equation, transversality conditions, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's type higher-order variational problems, valid for piecewise smooth functions.
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