On the regularity of optimal controls for a class of problems with state constraints

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Margarida Ferreira (Author) FEUP

Journal

Title: International Journal of Systems Science

Vol. 37 No. 8

Pages: 495-502

ISSN: 0020-7721

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 6 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-004-K4J

DOI: 10.1080/00207720600783801

Abstract (EN): In this paper a class of optimal control problems with state constraints involving a dynamic equation and an integral cost which are respectively affine and quadratic in the control variable is considered. Conditions may be imposed to ensure that control functions associated to normal extremals of such problems are Lipschitz continuous functions. Results concerning the degeneracy of the maximum principle for optimal control problems with state constraints and consequent results on normality are also known. Here, results on regularity and degeneracy are presented. Moreover, we analyse how conditions imposed to get regularity of the control function may also contribute to guarantee that the optimal solution is a normal extremal.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8