Symmetries in left-invariant optimal control problems
Optimization and Control
2020-06-02 v4
Abstract
We consider left-invariant optimal control problems on connected Lie groups such that generic stabilizer of the coadjoint action is connected and has dimension not more than 1. We introduce a construction for symmetries of the exponential map. These symmetries play a key role in investigation of optimality of extremal trajectories.
Cite
@article{arxiv.1807.09145,
title = {Symmetries in left-invariant optimal control problems},
author = {A. V. Podobryaev},
journal= {arXiv preprint arXiv:1807.09145},
year = {2020}
}
Comments
16 pages, 1 figures