Optimal Strokes for Low Reynolds Number Swimmers: An Example, Journal of Nonlinear Science, vol.209, issue.3, pp.277-302, 2008. ,
DOI : 10.1007/s00332-007-9013-7
Self-propulsion of slender micro-swimmers by curvature control: N-link swimmers, International Journal of Non-Linear Mechanics, vol.56, pp.132-141, 2013. ,
DOI : 10.1016/j.ijnonlinmec.2013.04.012
The tangent space in sub-Riemannian geometry, J. Math. Sci, vol.35, pp.461-476, 1997. ,
Bocop -A collection of examples, Inria Research Report, p.8053, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00726992
Singular trajectories and their role in control theory, Mathématiques & Applications, p.40, 2003. ,
Second order optimality conditions in the smooth case and applications in optimal control, ESAIM: Control, Optimisation and Calculus of Variations, vol.13, issue.2, pp.207-236, 2007. ,
DOI : 10.1051/cocv:2007012
URL : https://hal.archives-ouvertes.fr/hal-00086380
Les syst??mes de Pfaff, ?? cinq variables et les ??quations aux d??riv??es partielles du second ordre, Annales scientifiques de l'??cole normale sup??rieure, vol.27, pp.109-192, 1910. ,
DOI : 10.24033/asens.618
Contrôle optimal géométrique : méthodes homotopiques et applications, 2012. ,
Second Order Sufficient Conditions for Optimal Control Problems with Non-unique Minimizers: An Abstract Framework, Applied Mathematics & Optimization, vol.40, issue.3, pp.411-442, 2014. ,
DOI : 10.1007/s00245-014-9245-5
Controllability and Optimal Strokes for N-link Micro-swimmer, Proc. 52th Conf. on Dec. and Contr, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00798363
Optimal design of Purcell's three-link swimmer Physical Review, p.91, 2015. ,
The propulsion of sea-urchin spermatozoa, Journal of Experimental Biology, vol.32, pp.802-814, 1955. ,
Periodic optimal control for biomass productivity maximization in a photobioreactor using natural light, Inria Research Report, p.7929, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00687322
Locomotory Advantages to Flapping Out of Phase, Experimental Mechanics, vol.221, issue.2, p.50, 2009. ,
DOI : 10.1007/s11340-009-9287-9
Elliptic functions and applications, Applied Mathematical Sciences, vol.80, p.80, 1989. ,
DOI : 10.1007/978-1-4757-3980-0
Simple swimmer at low Reynolds number: Three linked spheres Physical Review, p.69, 2004. ,
The mathematical theory of optimal processes, 1962. ,
Life at low Reynolds number, Am. J. Phys, pp.3-11, 1977. ,
Symmetries of flat rank two distributions and sub-Riemannian structures, Transactions of the American Mathematical Society, vol.356, issue.02, pp.457-494, 2004. ,
DOI : 10.1090/S0002-9947-03-03342-7
A second variational theory for optimal periodic processes, IEEE Transactions on Automatic Control, vol.29, issue.2, pp.138-148, 1984. ,
DOI : 10.1109/TAC.1984.1103482
Analysis of the Swimming of Microscopic Organisms, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.209, issue.1099, pp.447-461, 1951. ,
DOI : 10.1098/rspa.1951.0218
Necessary and Sufficient Conditions for Local Optimality of a Periodic Process, SIAM Journal on Control and Optimization, vol.28, issue.2, pp.482-497, 1990. ,
DOI : 10.1137/0328027