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math.OC2007
Dynamics of Symplectic SubVolumes
Jared M. Maruskin, Daniel J. Scheeres, Anthony M. Bloch
In this paper we will explore fundamental constraints on the evolution of certain symplectic subvolumes possessed by any Hamiltonian phase space. This research has direct applicati…
math.OC2007
The Boltzmann-Hamel Equations for Optimal Control
Jared M. Maruskin, Anthony M. Bloch
We extend the Boltzmann-Hamel equations to the optimal control setting, producing a set of equations for both kinematic and dynamic nonholonomic optimal control problems. In partic…