On (Non)Supermodularity of Average Control Energy
Optimization and Control
2017-02-02 v4 Systems and Control
Abstract
Given a linear system, we consider the expected energy to move from the origin to a uniformly random point on the unit sphere as a function of the set of actuated variables. We show this function is not necessarily supermodular, correcting some claims in the existing literature.
Cite
@article{arxiv.1609.08706,
title = {On (Non)Supermodularity of Average Control Energy},
author = {Alex Olshevsky},
journal= {arXiv preprint arXiv:1609.08706},
year = {2017}
}