Optimal Control Involving Sweeping Processes

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Maria do Rosário de Pinho (Author) FEUP; Maria Margarida A. Ferreira (Author) FEUP; G. V. Smirnov (Author) Other

Journal

Title: Set-Valued and Variational Analysis

Vol. 27 No. 2

Pages: 523-548

ISSN: 1877-0533

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 28 Citations

Scopus - 27 Citations

Other information

Authenticus ID: P-00Q-NQ2

DOI: 10.1007/s11228-018-0501-8

Abstract (EN): We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems we prove existence of solution and necessary conditions. The special feature of our approach resides on the nature of the approximating problems: in contrast with other literature these problems do not rely on distance functions to the sweeping set.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26