36 citations · 210 across the 58 of their papers we have counts for
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math-ph2011
Discrete second-order Euler-Poincaré equations. Applications to optimal control
Leonardo Colombo, Fernando Jimenez, David Martin de Diego
In this paper we will discuss some new developments in the design of numerical methods for optimal control problems of Lagrangian systems on Lie groups. We will construct these geo…
math-ph2011★ 18 cited
On the geometry of higher-order variational problems on Lie groups
Leonardo Colombo, David Martin de Diego
In this paper, we describe a geometric setting for higher-order lagrangian problems on Lie groups. Using left-trivialization of the higher-order tangent bundle of a Lie group and a…