On stronger forms of first-order necessary conditions of optimality for state-constrained control problems

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Lopes, Sofia Oliveira (Author) Other; Fontes, Fernando A C C (Author) FEUP

Journal

Title: International Journal of Pure and Applied Mathematics

ISSN: 1311-8080

Publisher: Academic Publications Ltd

Other information

Authenticus ID: P-011-4WH

Abstract (EN): Recent research in necessary conditions for optimization problems has pursued two main directions. On the one hand, there is a quest to address problems with more and more generality. On the other, there is the investigation of tighter and tighter conditions which are able to identify a reduced set of candidates to minimizers. This work describes a line of research that has been pursued in the latter direction. We discuss the degeneracy phenomenon in optimization problems with inequality constraints. We start by describing this phenomenon in the context of mathematical programming problems. Later, we address the degeneracy phenomenon in the context of optimal control problems. We report some forms of nondegenerate and normal forms of necessary conditions of optimality for optimal control problems with state constraints. A brief overview of some significant literature in this area is made.

Language: English

Type (Professor's evaluation): Scientific