English

Necessary conditions for optimal control problems with sweeping systems and end point constraints

Optimization and Control 2021-06-22 v1

Abstract

We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [9] to cover the case where the end point is constrained to take values in a certain set. As in [9], an ingenious smooth approximating family of standard differential equations plays a crucial role.

Keywords

Cite

@article{arxiv.2106.11001,
  title  = {Necessary conditions for optimal control problems with sweeping systems and end point constraints},
  author = {M. d. R. de Pinho and M. Margarida A. Ferreira and Georgi Smirnov},
  journal= {arXiv preprint arXiv:2106.11001},
  year   = {2021}
}

Comments

18 pages

R2 v1 2026-06-24T03:25:11.107Z