, Control theory from the geometric viewpoint, vol.87, p.412, 2004.
, Topological Methods in Hydrodynamics, vol.125, 1998.
An Introduction to Riemann-Finsler Geometry, Graduate Texts in Mathematics, vol.435, 2000. ,
Zermelo navigation on Riemannian manifolds, J. Differential Geom, vol.66, issue.3, pp.377-435, 2004. ,
Sufficient conditions for optimality and the justification of the dynamic programming method, SIAM J. Control Optim, vol.4, issue.2, pp.326-361, 1966. ,
Second order optimality conditions in the smooth case and applications in optimal control, ESAIM Control Optim. and Calc. Var, vol.13, issue.2, pp.207-236, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00086380
, Singular trajectories and their role in control theory, vol.40, p.357, 2003.
, Mécanique céleste et contrôle des véhicules spatiaux, vol.51, 2006.
Théorie des singularités de l'application entrée/sortie et optimalité des trajectoires singulières dans le problème du temps minimal, Forum Math, vol.5, issue.2, pp.111-159, 1993. ,
, Optimal Control with Applications in Space and Quantum Dynamics, vol.5, 2012.
Applied optimal control, 1975. ,
Differential continuation for regular optimal control problems, Optimization Methods and Software, vol.27, issue.2, pp.177-196, 2011. ,
, Choreographies in the n-vortex problem, vol.23, pp.595-612, 2018.
, Calculus of Variations and Partial Differential Equations of the First Order, vol.1, 2001.
, Optimization-theory and applications: problems with ordinary differential equations, vol.17, 1983.
Simple Choreographic Motions of N Bodies: A Preliminary Study, Geometry, Mechanics, and Dynamics, pp.287-308, 2002. ,
Contrôle optimal géométrique : méthodes homotopiques et applications, 2012. ,
, Riemannian geometry, Birkhäuser, Mathematics: Theory & applications, 1988.
Feuilletages,études géométriques, Progr. Math, vol.98, 1991. ,
, Real and Complex Singularities, 2006.
The cut locus of a Randers rotational 2-sphere of revolution, Publ. Math. Debrecen, vol.93, pp.387-412, 2018. ,
Les feuilletages de Reeb, L'Ouvert. Num. 76 spécial Georges Reeb, pp.93-111, 1994. ,
On integrals of hydrodynamics equations, corresponding to vortex motions, Rus. J. Nonlin. Dyn, vol.2, issue.4, pp.473-507, 2006. ,
The cut loci and the conjugate loci on ellipsoids, Manuscripta math, vol.114, issue.2, pp.247-264, 2004. ,
, of Cambridge Studies in Advanced Mathematics, vol.52, 1997.
, Vorlesungen uber mathematische Physik, vol.466, p.1876
The high order maximal principle and its application to singular extremals, SIAM J. Control Optim, vol.15, pp.256-293, 1977. ,
, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem, vol.90, 2009.
, The N-Vortex Problem -Analytical Techniques, vol.145, 2001.
, , 1952.
, The Mathematical Theory of Optimal Processes, 1962.
Vortex dynamics models in flow control problems, Nonlinearity, vol.203, 2008. ,
, Sur certaines propriétés topologiques des variétés feuilletées, vol.1183, p.1952
Sur les feuilletages des variétés de dimension trois, Annales de l'Institut Fourier, vol.21, issue.3, pp.13-82, 1971. ,
, Vortex dynamics, 1992.
Géométrie et classification par feedback des systèmes de contrôle non linéaires de basse dimension, pp.51-62, 2006. ,
Optimal control of a co-rotating vortex pair: averaging and impulsive control, Physica D, vol.192, pp.63-82, 2004. ,
Über das Navigations problem bei ruhender oder veränderlicher wind-verteilung, Z. Angew. Math. Mech, vol.11, issue.2, pp.114-124, 1931. ,