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.


Published in:
Journal Of Geometric Mechanics, 3, 41-79
Year:
2011
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-01-28


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