3 papers
math.OC2017
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…
math.OC2016
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…
math.OC2015
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,…