An integral-type constraint qualification for optimal control problems with sta...

• Author(s): Lopes, Sofia Oliveira ; Fontes, Fernando A. C. C. ; Pinho, Maria do Rosário de
• Date: 2007
• Persistent ID: http://hdl.handle.net/1822/6297
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Optimal control; Degeneracy phenomenon
• Document Type: Report
• Language: English

Description

Relatório Técnico do Núcleo de Investigação Officina Mathematica. Standard necessary conditions of optimality (NCO) for constrained optimal control problems -- Maximum Principle type onditions -- may fail to provide useful information to select candidates to minimizers among the overall set of admissible solutions. This phenomenon is known as the degeneracy phenomenon and there has been continuing interest in the literature in proposing stronger forms of NCO that can be informative in such cases: the so-called nondegenerate NCO. The nondegenerate NCO proposed here are validunder a different set of hypothesis and under a constraint qualification of an integral-type that, in relation to some previous literature, can be verified for more problems.