Numerical Method for a Controlled Sweeping Process with Nonsmooth Sweeping Set

Fuente: arXiv
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Autores principales: Nour, Chadi, Zeidan, Vera
Formato: Preprint
Publicado: 2023
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author Nour, Chadi
Zeidan, Vera
author_facet Nour, Chadi
Zeidan, Vera
contents The numerical method developed in [30] for optimal control problems involving sweeping processes with smooth sweeping set C is generalized to the case where C is nonsmooth, namely, C is the intersection of a finite number of sublevel sets of smooth functions. The novelty of this extension resides in producing for the general setting a different approach, since the one used for the smooth sweeping sets is not applicable here.
format Preprint
id arxiv_https___arxiv_org_abs_2311_16611
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Numerical Method for a Controlled Sweeping Process with Nonsmooth Sweeping Set
Nour, Chadi
Zeidan, Vera
Optimization and Control
34A60-49K21-65K10
The numerical method developed in [30] for optimal control problems involving sweeping processes with smooth sweeping set C is generalized to the case where C is nonsmooth, namely, C is the intersection of a finite number of sublevel sets of smooth functions. The novelty of this extension resides in producing for the general setting a different approach, since the one used for the smooth sweeping sets is not applicable here.
title Numerical Method for a Controlled Sweeping Process with Nonsmooth Sweeping Set
topic Optimization and Control
34A60-49K21-65K10
url https://arxiv.org/abs/2311.16611