Unmaximized inclusion necessary conditions for nonconvex constrained optimal control problems

• Type: Article in International Scientific Journal
• Date: 2005

Authors

M. do Rosário de Pinho (Author) FEUP; Maria Margarida Ferreira (Author) FEUP; Fernando Fontes (Author) FEUP

Journal

Title: ESAIM - Control, Optimisation and Calculus of Variations

Vol. 11 No. 4

Pages: 614-632

ISSN: 1292-8119

Publisher: EDP Sciences

Indexing

ISI Web of Knowledge - 11 Citations

Scopus - 15 Citations

COMPENDEX

INSPEC

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-000-5N9

DOI: 10.1051/cocv:2005020

Abstract (EN): Necessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality conditions for problems that in addition to state constraints incorporate mixed state-control constraints.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19