On the Relation Between Inward Pointing Velocity Conditions

Sofia Lopes; Fernando A.C.C. Fontes; Maria Do Rosário De Pinho

inria-00636344, version 1

On the Relation Between Inward Pointing Velocity Conditions

Sofia Lopes^a^, 1, Fernando A.C.C. Fontes ()^b^, 2, Maria Do Rosário De Pinho ()^b^, 3

ICNAAM - International Conference on Numerical Analysis and Applied Mathematics 1389 (2011) 759-762

Résumé : 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 inward pointing velocity (IPV) conditions, and, in particular, in which situation one type implies other type of IPV. Such findings are reported in the article.

a – Universidade do Minho
b – Universidade do Porto
1 : Departamento de Matemática e Aplicações (DMA)
Universidade do Minho
2 : Universidade do Porto
Université de Porto
3 : Departamento de Engenharia Electrotécnica e de Computadores [Porto] (DEEC)
Faculdade de Engenharia da Universidade do Porto – Universidade do Porto

inria-00636344, version 1
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Contributeur : Estelle Bouzat <>
Soumis le : Jeudi 27 Octobre 2011, 12:12:27
Dernière modification le : Mercredi 23 Novembre 2011, 09:50:13

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DOI : 10.1063/1.3636843

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