Régularité Lipschitzienne des Géodésiques Minimisantes pour Quelques Distributions Affines

Bensalem, Naceurdine

Serdica Mathematical Journal (2008)

  • Volume: 34, Issue: 2, page 383-394
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 49J15, 49J30, 53B50.In the context of sub-Riemannian geometry and the Lipschitzian regularity of minimizers in control theory, we investigate some properties of minimizing geodesics for certain affine distributions. In particular, we consider the case of a generalized H2-strong affine distribution and the case of an affine Plaff system of maximal class.

How to cite

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Bensalem, Naceurdine. "Régularité Lipschitzienne des Géodésiques Minimisantes pour Quelques Distributions Affines." Serdica Mathematical Journal 34.2 (2008): 383-394. <http://eudml.org/doc/281401>.

@article{Bensalem2008,
abstract = {2000 Mathematics Subject Classification: 49J15, 49J30, 53B50.In the context of sub-Riemannian geometry and the Lipschitzian regularity of minimizers in control theory, we investigate some properties of minimizing geodesics for certain affine distributions. In particular, we consider the case of a generalized H2-strong affine distribution and the case of an affine Plaff system of maximal class.},
author = {Bensalem, Naceurdine},
journal = {Serdica Mathematical Journal},
keywords = {Contrôle Optimal; Régularité Lipschitzienne; Distribution Affine; Géodésique; optimal contral; Lipschitz regularity; affine distributions; geodesics.},
language = {fre},
number = {2},
pages = {383-394},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Régularité Lipschitzienne des Géodésiques Minimisantes pour Quelques Distributions Affines},
url = {http://eudml.org/doc/281401},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Bensalem, Naceurdine
TI - Régularité Lipschitzienne des Géodésiques Minimisantes pour Quelques Distributions Affines
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 2
SP - 383
EP - 394
AB - 2000 Mathematics Subject Classification: 49J15, 49J30, 53B50.In the context of sub-Riemannian geometry and the Lipschitzian regularity of minimizers in control theory, we investigate some properties of minimizing geodesics for certain affine distributions. In particular, we consider the case of a generalized H2-strong affine distribution and the case of an affine Plaff system of maximal class.
LA - fre
KW - Contrôle Optimal; Régularité Lipschitzienne; Distribution Affine; Géodésique; optimal contral; Lipschitz regularity; affine distributions; geodesics.
UR - http://eudml.org/doc/281401
ER -

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