Entropy and complexity of a path in sub-Riemannian geometry
ESAIM: COCV, 9 (2003) 485-508
Published online: 2003-09-15
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Hausdorff volume in non equiregular sub-Riemannian manifolds
R. Ghezzi and F. JeanNonlinear Analysis 126 345 (2015)
https://doi.org/10.1016/j.na.2015.06.011
Complexity of Control-Affine Motion Planning
F. Jean and D. PrandiSIAM Journal on Control and Optimization 53 (2) 816 (2015)
https://doi.org/10.1137/130950793
On certain hyperelliptic signals that are natural controls for nonholonomic motion planning
Jean-Paul Gauthier and Felipe Monroy-PérezMathematics of Control, Signals, and Systems 27 (3) 415 (2015)
https://doi.org/10.1007/s00498-015-0145-2
3731 (2014)
https://doi.org/10.1109/CDC.2014.7039970
Hölder equivalence of the value function for control-affine systems
Dario PrandiESAIM: Control, Optimisation and Calculus of Variations 20 (4) 1224 (2014)
https://doi.org/10.1051/cocv/2014014
Motion Planning for Kinematic Systems
Nicolas Boizot and Jean-Paul GauthierIEEE Transactions on Automatic Control 58 (6) 1430 (2013)
https://doi.org/10.1109/TAC.2012.2232376
On the motion planning of the ball with a trailer
Nicolas Boizot and Jean-Paul GauthierMathematical Control & Related Fields 3 (3) 269 (2013)
https://doi.org/10.3934/mcrf.2013.3.269
A new class of $(H^k,1)$-rectifiable subsets of metric spaces
Frédéric Jean and Roberta GhezziCommunications on Pure and Applied Analysis 12 (2) 881 (2012)
https://doi.org/10.3934/cpaa.2013.12.881
On the Hausdorff volume in sub-Riemannian geometry
Andrei Agrachev, Davide Barilari and Ugo BoscainCalculus of Variations and Partial Differential Equations 43 (3-4) 355 (2012)
https://doi.org/10.1007/s00526-011-0414-y
Motion Planning and Fastly Oscillating Controls
Jean-Paul Gauthier, BronisŁaw Jakubczyk and Vladimir ZakalyukinSIAM Journal on Control and Optimization 48 (5) 3433 (2010)
https://doi.org/10.1137/090761884
Measuring singularity of generalized minimizers for control-affine problems
Manuel Guerra and Andrey SarychevJournal of Dynamical and Control Systems 15 (2) 177 (2009)
https://doi.org/10.1007/s10883-009-9065-0
Generalized solutions for singular optimal control problems
M. GuerraJournal of Mathematical Sciences 156 (3) 440 (2009)
https://doi.org/10.1007/s10958-008-9274-1
Mathematical Control Theory and Finance
Jean-Paul Gauthier and Vladimir ZakalyukinMathematical Control Theory and Finance 187 (2008)
https://doi.org/10.1007/978-3-540-69532-5_11
Lagrangian and Hamiltonian Methods for Nonlinear Control 2006
Manuel Guerra and Andrey SarychevLecture Notes in Control and Information Sciences, Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 366 269 (2007)
https://doi.org/10.1007/978-3-540-73890-9_21
Entropy estimations for motion planning problems in robotics
J. -P. Gauthier and V. M. ZakalyukinProceedings of the Steklov Institute of Mathematics 256 (1) 62 (2007)
https://doi.org/10.1134/S008154380701004X
On the Motion Planning Problem, Complexity, Entropy, and Nonholonomic Interpolation
Jean-Paul Gauthier and Vladimir ZakalyukinJournal of Dynamical and Control Systems 12 (3) 371 (2006)
https://doi.org/10.1007/s10450-006-0005-y
On complexity and motion planning for co-rank one sub-Riemannian metrics
Cutberto Romero-Meléndez, Jean Paul Gauthier and Felipe Monroy-PérezESAIM: Control, Optimisation and Calculus of Variations 10 (4) 634 (2004)
https://doi.org/10.1051/cocv:2004024
Measures of transverse paths in sub-Riemannian geometry
Elisha Falbel and Frédéric JeanJournal d'Analyse Mathématique 91 (1) 231 (2003)
https://doi.org/10.1007/BF02788789