Nondegenerate necessary conditions for optimal control problem with state constraints: Integral-type constraint qualification

• Type: Article in International Conference Proceedings Book
• Date: 2015

Authors

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

Conference proceedings International

Title: 2007 European Control Conference, ECC 2007

Pages: 2012-2016

2007 9th European Control Conference, ECC 2007

2 July 2007 through 5 July 2007

Indexing

Scopus - 1 Citation

Other information

Authenticus ID: P-00A-C19

Abstract (EN): The main purpose of necessary conditions of optimality (NCO) is to identify a 'small' set of candidates to minimizers among the overall set of admissible solutions. However, for certain optimal control problems with state constraints, it might happen that the set of all admissible solutions coincides with the set of candidates satisfying the NCO. This phenomenon is known as the degeneracy phenomenon and there has been some literature proposing stronger forms of NCO that can be informative in such cases: The so-called nondegenerate NCO. The nondegenerate NCO proposed here are valid under a different set of hypothesis and under a constraint qualification of an integral-type that, in relation to some previous literature, is easier to verify. © 2007 EUCA.

Language: English

Type (Professor's evaluation): Scientific