Abstract
The problem of optimal control of rotation of an asymmetric rigid body is studied. An integrally quadratic functional characterizing the total energy costs is taken as the criterion. It is shown that, under certain conditions, the problem has a nontrivial extremal corresponding to a 180-degree flat turn, i.e., rotation about an axis fixed in the inertial space. The obtained results are based on an analysis of the equations arising after the application of the Pontryagin maximum principle (PMP) formalism.
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