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On the relation between inward pointing velocity conditions

Lopes, Sofia Oliveira; Fontes, Fernando A. C. C.; Pinho, Maria do Rosário de

Inward pointing velocity conditions are important in the study of whether trajectories remain within sets (the so-called invariance or viability) and also to establish constraint qualifications (CQ) under which necessary conditions of optimality for control problem can be guaranteed to be nondegenerate NCO or normal. In our research on nondegenerate NCO we have studied different types of CQs in the form of inwa...


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

Lopes, Sofia Oliveira; Fontes, Fernando A. C. C.; Pinho, Maria do Rosário de

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 ...


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