48 citations · 132 across the 6 of their papers we have counts for
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math.OC2015★ 6 cited
Noether's theorem for higher-order variational problems of Herglotz type
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
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,…
math.OC2015★ 48 cited
Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
We extend the DuBois-Reymond necessary optimality condition and Noether's first theorem to variational problems of Herglotz type with time delay. Our results provide, as corollarie…