Search

Your search keyword '"Marsden-Weinstein reduction"' showing total 1 results
Start Over Descriptor "Marsden-Weinstein reduction" Topic curvature
1 results on '"Marsden-Weinstein reduction"'

1. REDUCTION FOR CONSTRAINED VARIATIONAL PROBLEMS ON 3-DIMENSIONAL NULL CURVES.

Author

Musso, Emilio and Nicolodi, Lorenzo

Subjects
*CURVES, *CONTROL theory (Engineering), *LINEAR systems, *CURVATURE, *EXTERIOR differential systems, *ELLIPTIC functions, *NUMERICAL analysis, *MATHEMATICS research
Abstract

We consider the optimal control problem for null curves in de Sitter 3-space defined by a functional which is linear in the curvature of the trajectory. We show how techniques based on the method of moving frames and exterior differential systems, coupled with the reduction procedure for systems with a Lie group of symmetries, lead to the integration by quadratures of the extremals. Explicit solutions are found in terms of elliptic functions and integrals. [ABSTRACT FROM AUTHOR]

Published
2008
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results