On Averaging of a Class of "Non-Singularly Perturbed" Control Systems
Optimization and Control
2023-09-07 v1
Abstract
We study a control system resembling a singularly perturbed system whose variables are decomposed into groups that change their values with rates of different orders of magnitude. We establish that the slow trajectories of this system are dense in the set of solutions of a certain differential inclusion and discuss an implication of this result for optimal control.
Keywords
Cite
@article{arxiv.2309.02652,
title = {On Averaging of a Class of "Non-Singularly Perturbed" Control Systems},
author = {Vladimir Gaitsgory and Ilya Shvartsman},
journal= {arXiv preprint arXiv:2309.02652},
year = {2023}
}