15 citations · 29 across the 8 of their papers we have counts for
3 papers · 1 filter
A Fractional Variational Approach for Modelling Dissipative Mechanical Systems: Continuous and Discrete Settings
Fernando Jiménez, Sina Ober-Blöbaum
Employing a phase space which includes the (Riemann-Liouville) fractional derivative of curves evolving on real space, we develop a restricted variational principle for Lagrangian…
New developments on the Geometric Nonholonomic Integrator
Sebastián Ferraro, Fernando Jiménez, David Martín de Diego
In this paper, we will discuss new developments regarding the Geometric Nonholonomic Integrator (GNI) [23, 24]. GNI is a discretization scheme adapted to nonholonomic mechanical sy…
Variational integrators for underactuated mechanical control systems with symmetries
Leonardo Colombo, Fernando Jiménez, David Martín de Diego
Optimal control problems for underactuated mechanical systems can be seen as a higher-order variational problem subject to higher-order constraints (that is, when the Lagrangian fu…