Publication

The Clebsch Representation in Optimal Control and Low Rank Integrable Systems

Tudor Ratiu
2018

Abstract

Certain kinematic optimal control problems (the Clebsch problems) and their connection to classical integrable systems are considered. In particular, the rigid body problem and its rank 2k counterparts, the geodesic flows on Stiefel manifolds and their connection with the work of Moser, flows on symmetric matrices, and the Toda flows are studied.

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The Clebsch Representation in Optimal Control and Low Rank Integrable Systems

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