Normality and Nondegeneracy for Optimal Control Problems with State Constraints

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Fontes, Fernando A C C (Author) FEUP; Frankowska, H (Author) Other

Journal

Title: Journal of Optimization Theory and Applications

Vol. 166 No. 2

Pages: 115-136

ISSN: 0022-3239

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 30 Citations

Scopus - 31 Citations

Other information

Authenticus ID: P-00A-45D

DOI: 10.1007/s10957-015-0704-1

Abstract (EN): In this paper, we investigate normal and nondegenerate forms of the maximum principle for optimal control problems with state constraints. We propose new constraint qualifications guaranteeing nondegeneracy and normality that have to be checked on smaller sets of points of an optimal trajectory than those in known sufficient conditions. In fact, the constraint qualifications proposed impose the existence of an inward pointing velocity just on the instants of time for which the optimal trajectory has an outward pointing velocity.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22