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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Maria do Rosário de Pinho (Autor) FEUP; Ferreira, MMA (Autor) Outra; Smirnov, Georgi (Autor) Outra

Revista

Título: Journal of Optimization Theory and Applications

ISSN: 0022-3239

Editora: Springer Nature

Indexação

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Outras Informações

ID Authenticus: 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).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 25