A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set

• Type: Article in International Scientific Journal
• Date: 2023

Authors

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

Journal

Title: Journal of Optimization Theory and Applications

ISSN: 0022-3239

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00Y-YBF

DOI: 10.1007/s10957-023-02283-4

Abstract (EN): We generalize a maximum principle for optimal control problems involving sweeping systems previously derived in de Pinho et al. (Optimization 71(11):3363-3381, 2022, https://doi.org/10.1080/02331934.2022.2101111) to cover the case where the moving set may be nonsmooth. Noteworthy, we consider problems with constrained end point. A remarkable feature of our work is that we rely upon an ingenious smooth approximating family of standard differential equations in the vein of that used in de Pinho et al. (Set Valued Var Anal 27:523-548, 2019, https://doi.org/10.1007/s11228-018-0501-8).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25