Investigation of regularity conditions in optimal control problems with geometric mixed constraints

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Arutyunov, AV (Author) Other; Yu. Y Karamzin (Author) Other; Pereira, FL (Author) FEUP; Silva, GN (Author) Other

Journal

Title: Optimization

Vol. 65

Pages: 185-206

ISSN: 0233-1934

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 7 Citations

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-00G-6RE

DOI: 10.1080/02331934.2015.1014478

Abstract (EN): We investigate regularity conditions in optimal control problems with mixed constraints of a general geometric type, in which a closed non-convex constraint set appears. A closely related question to this issue concerns the derivation of necessary optimality conditions under some regularity conditions on the constraints. By imposing strong and weak regularity condition on the constraints, we provide necessary optimality conditions in the form of Pontryagin maximum principle for the control problem with mixed constraints. The optimality conditions obtained here turn out to be more general than earlier results even in the case when the constraint set is convex. The proofs of our main results are based on a series of technical lemmas which are gathered in the Appendix.

Language: English

Type (Professor's evaluation): Scientific

Notes: In press.

No. of pages: 22