On the Solution Existence for Prox-Regular Perturbed Sweeping Processes
Optimization and Control
2021-08-18 v1
Abstract
In the setting adopted by Edmond and Thibault [Mathematical Programming 104 (2005), 347--373], we study a class of perturbed sweeping processes. Under suitable assumptions, we obtain two solution existence theorems for perturbed sweeping processes with the constraint sets being prox-regular sublevel sets. The results are applied to analyzing the behavior of some concrete mechanical sweeping processes, which appear for the first time in this paper.
Cite
@article{arxiv.2108.07515,
title = {On the Solution Existence for Prox-Regular Perturbed Sweeping Processes},
author = {Nguyen Khoa Son and Nguyen Nang Thieu and Nguyen Dong Yen},
journal= {arXiv preprint arXiv:2108.07515},
year = {2021}
}