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

• Type: Article in International Scientific Journal
• Date: 2022-07

Authors

Maria do Rosário de Pinho (Author) FEUP; Margarida Ferreira (Author) FEUP; Georgi Smirnov (Author) Other

Journal

Title: Optimization

Vol. 71 No. 11

Pages: 3363-3381

ISSN: 0233-1934

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Scientific classification

CORDIS: Physical sciences > Mathematics > Applied mathematics

Other information

Authenticus ID: P-00W-YYB

DOI: 10.1080/02331934.2022.2101111

Abstract (EN): We generalize the Maximum Principle for free end point optimal control problems involving sweeping systems derived in [de Pinho MdR, Ferreira MMA, Smirnov GV. Optimal control involving sweeping processes. Set-Valued Var Anal. 2019;27(2):523-548] to cover the case where the constraints are time dependent and the end point is constrained to a set. As in [de Pinho MdR, Ferreira MMA, Smirnov GV. Optimal control involving sweeping processes. Set-Valued Var Anal. 2019;27(2):523-548], an ingenious smooth approximating family of standard differential equations plays a crucial role.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19