A Weak maximum principle for optimal control problems with nonsmooth mixed constraints

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Maria do Rosário de Pinho (Author) FEUP; P. Loewen (Author) Other; G. N. Silva (Author) Other

Journal

Title: Set-Valued and Variational Analysis

Vol. 17 No. 2

Pages: 203-221

ISSN: 1877-0533

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 8 Citations

ISI Web of Science

Scopus - 9 Citations

INSPEC

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Technological sciences > Engineering > Control engineering

Other information

Authenticus ID: P-003-JYR

DOI: 10.1007/s11228-009-0108-1

Abstract (EN): We derive a weak Maximum Principle for nonsmooth optimal control problem involving mixed constraints under some convexity assumptions. Notably we consider problems with possibly nonsmooth mixed constraints. A nonsmooth version of the positive linear independence of the gradients with respect to the control of the mixed constraints plays a key role in validation of our main result.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19