8 citations · 18 across the 3 of their papers we have counts for
4 papers
A general framework for quantum splines
L. Abrunheiro, M. Camarinha, J. Clemente-Gallardo +2
Quantum splines are curves in a Hilbert space or, equivalently, in the corresponding Hilbert projective space, which generalize the notion of Riemannian cubic splines to the quantu…
Variational and Optimal Control Approaches for the Second-Order Herglotz Problem on Spheres
L. Machado, L. Abrunheiro, N. Martins
The present paper extends the classical second-order variational problem of Herglotz type to the more general context of the Euclidean sphere S^n following variational and optimal…
Lagrangian Lie subalgebroids generating dynamics for second-order mechanical systems on Lie algebroids
Ligia Abrunheiro, Leonardo Colombo
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described by a Lagrangian or Hamiltonian function for a wide range of mechanical systems…
Some applications of quasi-velocities in optimal control
L. Abrunheiro, M. Camarinha, J. F. Cariñena +3
In this paper we study optimal control problems for nonholonomic systems defined on Lie algebroids by using quasi-velocities. We consider both kinematic, i.e. systems whose cost fu…