Two-dimensional almost-Riemannian structures with tangency points, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ,
DOI : 10.1109/CDC.2009.5400489
URL : https://hal.archives-ouvertes.fr/hal-00589699
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds. Discrete Contin, Dyn. Syst, vol.20, issue.4, pp.801-822, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00097173
Control theory from the geometric viewpoint, of Encyclopaedia of Mathematical Sciences Control Theory and Optimization, II, 2004. ,
DOI : 10.1007/978-3-662-06404-7
The tangent space in sub-Riemannian geometry, Sub-Riemannian geometry, pp.1-78, 1996. ,
Conjugate and cut loci of a two-sphere of revolution with application to optimal control, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.26, issue.4, pp.1081-1098, 2009. ,
DOI : 10.1016/j.anihpc.2008.03.010
URL : https://hal.archives-ouvertes.fr/hal-00212075
One-parameter family of Clairaut-Liouville metrics with application to optimal control, 2008. ,
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, 2010. ,
DOI : 10.1007/s10883-011-9113-4
URL : https://hal.archives-ouvertes.fr/hal-00517193
Nonisotropic 3-level quantum systems: complete solutions for minimum time and minimum energy, Discrete Contin. Dyn. Syst. Ser. B, vol.5, issue.4, pp.957-990, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00376872
Optimal control in laser-induced population transfer for two- and three-level quantum systems, Journal of Mathematical Physics, vol.43, issue.5, pp.2107-2132, 2002. ,
DOI : 10.1063/1.1465516
A short introduction to optimal control, pp.19-66, 2005. ,
High-order angles in almost-Riemannian geometry, S??minaire de th??orie spectrale et g??om??trie, vol.25, issue.25, pp.41-54, 2005. ,
DOI : 10.5802/tsg.246
URL : https://hal.archives-ouvertes.fr/hal-00589708
Introduction to the mathematical theory of control, AIMS Series on Applied Mathematics. American Institute of Mathematical Sciences (AIMS), vol.2, 2007. ,
Une métrique associéè a une classe d'opérateurs elliptiques dégénérés, Conference on linear partial and pseudodifferential operators, pp.105-114, 1982. ,
Connections, curvature, and cohomology. Vol. I: De Rham cohomology of manifolds and vector bundles, Pure and Applied Mathematics, vol.47, 1972. ,
A certain class of hypoelliptic operators, Mat. Sb. (N.S.), vol.83, issue.125, pp.456-473, 1970. ,
Differential topology, volume 33 of Graduate Texts in Mathematics, 1994. ,
A tour of subriemannian geometries, their geodesics and applications, volume 91 of Mathematical Surveys and Monographs, 2002. ,
Quelques propri??t??s g??om??triques des vari??t??s pseudo-riemanniennes singuli??res, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.4, issue.1, pp.87-199, 1995. ,
DOI : 10.5802/afst.794