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math.OC2007★ 1 cited
Geometric structure-preserving optimal control of the rigid body
Anthony M. Bloch, Islam I. Hussein, Melvin Leok +1
In this paper we study a discrete variational optimal control problem for the rigid body. The cost to be minimized is the external torque applied to move the rigid body from an ini…
math.OC2005
Optimal Control of Underactuated Nonholonomic Mechanical Systems
Islam I. Hussein, Anthony M. Bloch
In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at m…