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TitleOn constraint qualifications for nondegenerate necessary conditions of optimality applied to optimal control problems
Author(s)Lopes, Sofia Oliveira
Fontes, Fernando A. C. C.
Pinho, Maria do Rosário de
KeywordsOptimal Control
State Constraints
Maximum Principle
Degeneracy Phenomenon
Constraint Qualifications
Constraint Qualiffcations
Issue dateFeb-2011
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalDiscrete and Continuous Dynamical Systems Series A
Citation"Discrete and Continuous Dynamical Systems. Series A". ISSN 1078-0947. 29:2 (2011) 559-575.
Abstract(s)We address necessary conditions of optimality (NCO), in the form of a maximum principle, for optimal control problems with state constraints. In particular, we are interested in the NCO that are strengthened to avoid the degeneracy phenomenon that occurs when the trajectory hits the boundary of the state constraint. In the literature on this subject, we can distinguish two types of constraint qualifications (CQ) under which the strengthened NCO can be applied: CQ involving the optimal control and CQ not involving it. Each one of these types of CQ has its own merits. The CQs involving the optimal control are not so easy to verify, but, are typically applicable to problems with less regularity on the data. In this article, we provide conditions under which the type of CQ involving the optimal control can be reduced to the other type. In this way, we also provide nondegenerate NCO that are valid under a different set of hypotheses.
DescriptionArtigo em fase de publicação
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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