Conference abstracts

Session A5 - Geometric Integration and Computational Mechanics - Semi-plenary talk

July 11, 14:30 ~ 15:20 - Room 111

The Clebsch representation in optimal control, integrable systems and discrete dynamics

Anthony Bloch

University of Michigan , USA   -

In this talk we discuss certain kinematic optimal control problems (the Clebsch problems) and their connection to classical integrable systems. In particular, we consider the rigid body problem and its low rank counterparts, the geodesic flows on Stiefel manifolds and their connection with the work of Moser, flows on symmetric matrices, and the Toda flows. We also discuss discrete formulations of these systems and their connection with numerical algorithms.

Joint work with Francois Gay-Balmaz (Ecole Normale Superieure, Paris) and Tudor Ratiu (Shanghai Jiao Tong University and EPFL (Shanghai and Lausanne).

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