19 citations · 63 across the 15 of their papers we have counts for
3 papers · 1 filter
Neural networks for the approximation of Euler's elastica
Elena Celledoni, Ergys Çokaj, 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…
Discrete Adjoint Method for Variational Integration of Constrained ODEs and its application to Optimal Control of Geometrically Exact Beam Dynamics
Matthias Schubert, Rodrigo T. Sato Martín de Almagro, Karin Nachbagauer +2
Direct methods for the simulation of optimal control problems apply a specific discretization to the dynamics of the problem, and the discrete adjoint method is suitable to calcula…
A new Lagrangian approach to control affine systems with a quadratic Lagrange term
Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blobaum +2
In this work, we consider optimal control problems for mechanical systems on vector spaces with fixed initial and free final state and a quadratic Lagrange term. Specifically, the…