2 citations · 4 across the 18 of their papers we have counts for
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Covariant Euler-Poincaré Reduction for Field Theories on Centered Semidirect Products
Miguel Ángel Berbel, Leonardo Colombo, Álvaro Rodríguez Abella
Let be a Lie group equipped with commuting left and right linear representations on a vector space , and let be the associated centered semidirect product. We dev…
On the integrability of hybrid Hamiltonian systems
Asier López-Gordón, Leonardo J. Colombo
A hybrid system is a system whose dynamics are controlled by a mixture of both continuous and discrete transitions. The integrability of Hamiltonian systems is often identified wit…
Nonholonomic reduction for mechanical systems with collisions
Álvaro Rodríguez Abella, Leonardo J. Colombo
This paper studies nonsmooth variational problems on principal bundles for nonholonomic systems with collisions taking place in the boundary of the manifold configuration space of…
Implicit Nonholonomic Mechanics with Collisions
Álvaro Rodríguez Abella, Leonardo Colombo
In this paper, variational techniques are used to analyze the dynamics of nonholonomic mechanical systems with impacts. Implicit nonholonomic smooth Lagrangian and Hamiltonian syst…
Optimal Control of Incompressible Ideal Flows with Obstacle Avoidance
Alexandre Anahory Simoes, Anthony Bloch, Leonardo Colombo
It was shown in \cite{bloch2000optimal} that an optimal control formulation for incompressible ideal fluid flow yields Euler's equations. In this paper, we consider a variational o…