R. H. Goddard, A Method of Reaching Extreme Altitudes, Smithsonian Miscellaneous Collections. Smithsonian institution, vol.71, issue.2, 1919.

H. Maurer, Numerical solution of singular control problems using multiple shooting techniques, Journal of Optimization Theory and Applications, vol.8, issue.2, pp.235-257, 1976.
DOI : 10.1007/BF00935706

A. Miele, Generalized variational approach to the optimum thrust programming for a vertical flight of a rocket, ZFW (Zeitschrift für Flugwissenschaften und Weltraumforschung), pp.3-4102, 1958.

H. Seywald and E. M. Cliff, Goddard problem in presence of a dynamic pressure limit, Journal of Guidance, Control, and Dynamics, vol.16, issue.4, pp.776-781, 1993.
DOI : 10.2514/3.21080

P. Tsiotras and H. J. Kelley, Drag-law effects in the goddard problem, Automatica, vol.27, issue.3, pp.27-3481, 1991.
DOI : 10.1016/0005-1098(91)90105-B

A. E. Bryson and Y. Ho, Applied optimal control, 1975.

B. Bonnard and M. Chyba, Singular trajectories and their role in control theory, of Mathématiques & Applications, 2003.

H. M. Robbins, A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control, IBM Journal of Research and Development, vol.11, issue.4, pp.361-372, 1967.
DOI : 10.1147/rd.114.0361

B. S. Goh, Necessary Conditions for Singular Extremals Involving Multiple Control Variables, SIAM Journal on Control, vol.4, issue.4, pp.716-731, 1966.
DOI : 10.1137/0304052

A. Agrachev and Y. Sachkov, Control theory from the geometric viewpoint Control Theory and Optimization, II, Encyclopaedia of Mathematical Sciences, vol.87, 2004.

B. Bonnard, J. Caillau, and E. Trélat, Second order optimality conditions in the smooth case and applications in optimal control, ESAIM: Control, Optimisation and Calculus of Variations, vol.13, issue.2, 2006.
DOI : 10.1051/cocv:2007012
URL : https://hal.archives-ouvertes.fr/hal-00086380

W. Rudin, Real and complex analysis, 1987.

B. Bonnard and I. Kupka, Generic properties of singular trajectories, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.14, issue.2
DOI : 10.1016/S0294-1449(97)80143-6

H. J. Oberle, Numerical computation of singular control functions in trajectory optimization problems, Journal of Guidance, Control, and Dynamics, vol.13, issue.1, pp.153-159, 1990.
DOI : 10.2514/3.20529

P. Martinon, Numerical resolution of optimal control problems by a Piecewise Linear continuation method, 2005.

A. L. Schwartz, Theory and implementation of numerical methods based on Runge-Kutta integration for solving optimal control problems, 1996.

E. Allgower and K. Georg, Numerical Continuation Methods, 1990.
DOI : 10.1007/978-3-642-61257-2

J. T. Betts, Practical Methods for Optimal Control using Nonlinear Programming, Applied Mechanics Reviews, vol.55, issue.4, 2001.
DOI : 10.1115/1.1483351

R. Bulirsch, Die mehrzielmethode zur numerischen lösung von nichtlinearen randwertproblemen und aufgaben der optimalen steuerung, Deutsches Zentrum für Luft-und Raumfahrt (DLR), 1971.

J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, 1993.

E. Hairer and G. Wanner, Solving ordinary differential equations. II

A. Waechter and L. T. Biegler, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006.
DOI : 10.1007/s10107-004-0559-y