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Noether currents for higher-order variational problems of Herglotz type with time delay

  • * Corresponding author: N. Martins

    * Corresponding author: N. Martins 
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  • We study, from an optimal control perspective, Noether currents for higher-order problems of Herglotz type with time delay. Main result provides new Noether currents for such generalized variational problems, which are particularly useful in the search of extremals. The proof is based on the idea of rewriting the higher-order delayed generalized variational problem as a first-order optimal control problem without time delays.

    Mathematics Subject Classification: Primary: 49K15, 49S05; Secondary: 49K05, 34H05.


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