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research article
Clebsch Optimal Control Formulation In Mechanics
This paper introduces and studies a class of optimal control problems based on the Clebsch approach to Euler-Poincare dynamics. This approach unifies and generalizes a wide range of examples appearing in the literature: the symmetric formulation of N-dimensional rigid body and its generalization to other matrix groups; optimal control for ideal flow using the back-to-labels map; the double bracket equations associated to symmetric spaces. New examples are provided such as the optimal control formulation for the N-Camassa-Holm equation and a new geodesic interpretation of its singular solutions.
Type
research article
Web of Science ID
WOS:000290655400003
Authors
Publication date
2011
Published in
Volume
3
Start page
41
End page
79
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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