Tight Bounds for Averaging Multi-Frequency Differential Inclusions, Applied to Control Systems
Optimization and Control
2014-03-11 v2
Abstract
We present new tight bounds for averaging differential inclusions, which we apply to multi-frequency inclusions consisting of a sum of time periodic set-valued mappings. For this family of inclusions we establish an a tight estimate of order O\left(\epsilon\right) on the approximation error. These results are then applied to control systems consisting of a sum of time-periodic functions.
Cite
@article{arxiv.1402.6750,
title = {Tight Bounds for Averaging Multi-Frequency Differential Inclusions, Applied to Control Systems},
author = {Ido Bright},
journal= {arXiv preprint arXiv:1402.6750},
year = {2014}
}