48 citations · 132 across the 6 of their papers we have counts for
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Noether currents for higher-order variational problems of Herglotz type with time delay
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
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 gener…
Higher-order variational problems of Herglotz type with time delay
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
We study, using an optimal control point of view, higher-order variational problems of Herglotz type with time delay. Main results are higher-order Euler-Lagrange and DuBois-Reymon…
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,…
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…
An Optimal Control Approach to Herglotz Variational Problems
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
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 equati…
Higher-order variational problems of Herglotz type
Simao P. S. Santos, Natalia Martins, Delfim F. M. Torres
We obtain a generalized Euler-Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of…