3 papers
math.OC2025
Second order optimality conditions in a new Lagrangian formulation for optimal control problems
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya +2
It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the…
math.NA2024
A new perspective on symplectic integration of constrained mechanical systems via discretization maps
MarÃa Barbero Liñán, David MartÃn de Diego, Rodrigo T. Sato MartÃn de Almagro
A new geometric procedure to construct symplectic methods for constrained mechanical systems is developed in this paper. The definition of a map coming from the notion of retractio…
math.NA2024
Neural networks for the approximation of Euler's elastica
Elena Celledoni, Ergys Ãokaj, Andrea Leone +5
Euler's elastica is a classical model of flexible slender structures, relevant in many industrial applications. Static equilibrium equations can be derived via a variational princi…