Gauthier On the Dido problem and plane isoperimetric problems, Acta Applicandae Mathematicae, vol.57, issue.3, pp.287-338, 1999. ,
DOI : 10.1023/A:1006237201915
Les métriques sous riemanniennes en dimension 3, 1996. ,
Small sub-Riemannian balls on R 3, J. Dynam. Control Systems, vol.2, pp.3-359, 1996. ,
A geometric theory of swimming: Purcell's swimmer and its symmetrized cousin, New Journal of Physics, vol.10, issue.6, pp.6-063016, 2008. ,
DOI : 10.1088/1367-2630/10/6/063016
The tangent space in sub-riemannian geometry, Journal of Mathematical Sciences, vol.12, issue.No. 2, pp.461-476, 1997. ,
DOI : 10.1007/BF02434977
Optimal strokes at low Reynolds number: a geometric and numerical study of Copepod and Purcell swimmers ,
URL : https://hal.archives-ouvertes.fr/hal-01326790
Second order optimality conditions in the smooth case and applications in optimal control, ESAIM: Control, Optimisation and Calculus of Variations, vol.6, issue.2, pp.13-207, 2007. ,
DOI : 10.1051/cocv:2001115
URL : https://hal.archives-ouvertes.fr/hal-00086380
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry, Journal of Dynamical and Control Systems, vol.332, issue.1, pp.141-161, 2011. ,
DOI : 10.1007/s00208-004-0622-2
URL : https://hal.archives-ouvertes.fr/hal-00517193
Singular trajectories and their role in control theory, Mathématiques & Applications, vol.40, 2003. ,
DOI : 10.1007/978-1-4471-5102-9_49-1
Control theory and singular Riemannian geometry, New directions in applied mathematics, pp.11-27, 1980. ,
DOI : 10.1007/978-1-4612-5651-9_2
Optimal strokes for driftless swimmers: A general geometric approach, ESAIM: Control, Optimisation and Calculus of Variations, 2017. ,
DOI : 10.1051/cocv/2017012
URL : https://hal.archives-ouvertes.fr/hal-00969259
Contrôle optimal géométrique : méthodes homotopiques et applications, 2012. ,
Géométrie sous-riemannienne, Astérisque, Séminaire Bourbaki, pp.351-380, 1995. ,
Choreographed swimming of copepod nauplii, Journal of The Royal Society Interface, vol.33, issue.112, p.20150776, 2015. ,
DOI : 10.1242/jeb.105676
URL : http://rsif.royalsocietypublishing.org/content/royinterface/12/112/20150776.full.pdf
Isoholonomic problems and some applications, Communications in Mathematical Physics, vol.65, issue.3, pp.565-592, 1990. ,
DOI : 10.1007/BF02892134
Supplementary notes to: Dynamics of Purcells three-link microswimmer with a passive elastic tail, EPJ E, vol.35, pp.1-9, 2012. ,
The mathematical theory of optimal processes, 1962. ,
Life at low Reynolds number, Am. J. Phys, pp.45-48, 1977. ,
DOI : 10.1063/1.30370
Méthodes géométriques et numériques en contrôle optimal et applications au transfert orbital poussée faible etàet`età la nagè a faible nombre de Reynolds, 2016. ,
Optimal control theory and the efficiency of the swimming mechanism of the Copepod Zooplankton, Proc. 20th IFAC World Congress, 2017. ,
DOI : 10.1016/j.ifacol.2017.08.100
URL : https://hal.archives-ouvertes.fr/hal-01387423
Swimming with stiff legs at low Reynolds number, Physical Review E, vol.138, issue.2, 2015. ,
DOI : 10.1137/S0036144504445133
Optimal control, Systems & Control, Foundations & Applications, p.507, 2000. ,
Necessary and sufficient conditions for local optimality of a periodic process, SIAM J. Control Optim. n, vol.2, pp.28-482, 1990. ,