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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…
math-ph2023
Jacobi structure for dissipative mechanical systems on Lie Algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
We extend the Jacobi structure from and to and , respectively, where is a Lie alge…
math-ph2023
Hamel equations and quasivelocities for nonholonomic systems with inequality constraints
Alexandre Anahory Simoes, Leonardo Colombo
In this paper we derive Hamel equations for the motion of nonholonomic systems subject to inequality constraints in quasivelocities. As examples, the vertical rolling disk hitting…