101 citations · 650 across the 25 of their papers we have counts for
18 papers · 1 filter
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…
The second Noether theorem on time scale
Agnieszka B. Malinowska, Natália Martins
We extend the second Noether theorem to variational problems on time scales. Our result provides as corollaries the classical second Noether theorem, the second Noether theorem for…