Time-optimal decompositions in SU(2)
Optimization and Control
2012-05-17 v1
Abstract
A connected Lie group G is generated by its two 1-parametric subgroups exp(tX), exp(tY) if and only if the Lie algebra of G is generated by {X, Y}. We consider decompositions of elements of G into a product of such exponentials with times t > 0 and study the problem of minimizing the total time of the decompositions for a fixed element of G. We solve this problem for the group SU(2) and describe the structure of the time-optimal decompositions.
Cite
@article{arxiv.1205.3710,
title = {Time-optimal decompositions in SU(2)},
author = {Yuly Billig},
journal= {arXiv preprint arXiv:1205.3710},
year = {2012}
}