U. M. Ascher, R. M. Mattheij, and R. D. , Numerical solution of boundary value problems for differential equations, 1988.
DOI : 10.1137/1.9781611971231

M. Berger and B. Gostiaux, Géométrie différentielle, 1972.

C. Bischof, A. Carle, P. Kladem, and A. Mauer, Adifor 2.0: automatic differentiation of Fortran 77 programs, IEEE Computational Science and Engineering, vol.3, issue.3, pp.18-32, 1996.
DOI : 10.1109/99.537089

B. Bonnard and J. De-morant, Toward a Geometric Theory in the Time-Minimal Control of Chemical Batch Reactors, SIAM Journal on Control and Optimization, vol.33, issue.5, pp.1279-1311, 1995.
DOI : 10.1137/S0363012992241338

B. Bonnard and G. Launay, Time minimal control of batch reactors. ESAIM Control, Optimization and Calculus of Variations, pp.407-467, 1998.

H. Brezis, Analyse fonctionnelle ? Théorie et applications, 1992.

J. Buckheit, S. Chen, D. Donoho, I. Johnstone, and J. Scargle, WaveLab reference manual, 1995.

R. Bulirsch, F. Montrone, and H. J. Pesch, Abort landing in the presence of windshear as a minimax optimal control problem, part 2: Multiple shooting and homotopy, Journal of Optimization Theory and Applications, vol.36, issue.2, pp.223-254, 1991.
DOI : 10.1007/BF00940625

J. B. Caillau, Résolution deprobì emes de contrôle optimal via les séries de Tchebycheff, 1996.

J. B. Caillau, M. Denguir, J. Gergaud, J. Noailles, R. et al., Trajectoires optimalesàoptimalesà poussée continue, 2000.

J. B. Caillau, M. Denguir, C. T. Le, D. Monnerat, H. Morssi et al., Trajectoires optimalesàoptimalesà poussées continues, 1996.

J. B. Caillau, J. Gergaud, J. Noailles, R. , C. /. Enseeiht et al., Trajectoires optimalesà optimalesà poussée continue, 1998.

J. B. Caillau, J. Gergaud, and J. Noailles, Continuation technique for a weakly controlled satellite. Invited poster session, Nonlinear Analysis, 2000.

J. B. Caillau and J. Noailles, Résolution adaptative deprobì emes aux deux bouts linéaires, Séminaire CESAME, 1998.

J. B. Caillau and J. Noailles, Parametric approach for time optimal control, Sixth International Conference on Parametric Optimization and Related Topics, 1999.

J. B. Caillau and J. Noailles, Time optimal orbit transfer. Nonlinear Sciences on the Border of Milleniums, Conference dedicated to the 275th anniversary of Russian Academy of Sciences, 1999.
DOI : 10.1080/02331930108844536

URL : https://hal.archives-ouvertes.fr/hal-00540246

J. B. Caillau and J. Noailles, Transfert d'orbite en temps minimal, 1999.

J. B. Caillau and J. Noailles, Continuous Optimal Control Sensitivity Analysis with AD, Proceedings of the 3rd International Conference on Automatic Differentiation, 2000.
DOI : 10.1007/978-1-4613-0075-5_11

URL : https://hal.archives-ouvertes.fr/hal-00540268

J. B. Caillau and J. Noailles, ´ Etude géométrique d'un transfert orbital .Huitì emes journées MODE de la SMAI, 2000.

J. B. Caillau and J. Noailles, Geometric study of time optimal orbit transfer, 2000.

J. B. Caillau and J. Noailles, Wavelets for adaptive solution of boundary value problems, Proceedings of the 16th IMACS Conference, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00540274

J. B. Caillau and J. Noailles, Coplanar control of a satellite around the Earth. ESAIM Control, Optimization and Calculus of Variations, pp.239-258, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00540251

J. B. Caillau and J. Noailles, Sensitivity analysis for time optimal orbit transfer, Optimization, vol.49, issue.4, pp.327-350, 2001.
DOI : 10.1007/BF00248267

URL : https://hal.archives-ouvertes.fr/hal-00540246

J. B. Caillau and J. Noailles, WASP: a Wavelet Adaptive Solver for boundary value Problems, ENSEEIHT?IRIT

J. B. Caillau, J. Noailles, L. Pialot, R. , C. /. Enseeiht et al., Trajectoires optimalesàoptimalesà poussées continues, 1995.

L. Cesari, Optimization Theory and Applications, 1983.
DOI : 10.1007/978-1-4613-8165-5

M. J. Daydé and I. S. Duff, The RISC BLAS: a blocked implementation of level 3 BLAS for RISC processors, ACM Transactions on Mathematical Software, vol.25, issue.3, pp.316-340, 1999.
DOI : 10.1145/326147.326150

T. M. El-gindy, H. M. El-hawary, M. S. Salim, and M. El-kady, A Chebyshev approximation for solving optimal control problems, Computers & Mathematics with Applications, vol.29, issue.6, pp.35-45, 1994.
DOI : 10.1016/0898-1221(95)00005-J

Y. Evtushenko, Computation of exact gradients in distributed dynamic systems, Optimization Methods and Software, vol.28, issue.1-3, pp.45-75, 1998.
DOI : 10.1007/BF03167059

C. Ferrier and R. Epenoy, OPTIMAL CONTROL FOR ENGINES WITH ELECTRO-IONIC PROPULSION UNDER CONSTRAINT OF ECLIPSE, Acta Astronautica, vol.48, issue.4
DOI : 10.1016/S0094-5765(00)00158-2

A. F. Filippov, Differential equations with multivalued discontinuous right hand side, Dokl. Acad. Nauk. SSSR, vol.151, pp.65-68, 1953.

M. Fliess, Variations sur la notion de contrôlabilité in Quelques aspects de la théorie du contrôle, 2000.

D. Funaro, Polynomial approximation of differential equations, 1992.

S. Geffroy, Généralisation des techniques de moyennation en contrôle optimal ? Application auxprobì emes de transfert et de rendez?vousàvous`vousà poussée faible, 1997.

G. Gergaud, Résolution numérique deprobì emes de commande op- timalè a solution Bang?Bang par des méthodes homotopiques simpliciales, 1989.

J. Gergaud, C. T. Le, J. Noailles, R. , C. /. Enseeiht et al., Trajectoires optimalesàoptimalesà poussée continue, 1995.

J. Gergaud and J. Noailles, Probì eme d'optimisation de trajectoires : difficultés des algorithmes de tir. Résolution par une démarche homotopique, Symposium de Mécanique Spatiale, 1995.

C. Godbillon, Géométrie différentielle et mécanique analytique, 1985.

A. Griewank, Evaluating derivatives: principles and techniques of algorithmic differentiation, 2000.
DOI : 10.1137/1.9780898717761

A. D. Ioffe and V. M. Tihomirov, Theory of extremal problems, 1979.

L. Jameson, On the wavelet optimized finite differences method, 1996.

V. Jurdjevic, Geometric control theory, 1997.
DOI : 10.1017/CBO9780511530036

S. Lang, Introduction aux variétés différentiables, 1967.

C. T. Le, Contrôle optimal et transfert orbital en temps minimal, 1999.

F. Lempio and H. Maurer, Differential stability in infinite-dimensional nonlinear programming, Applied Mathematics & Optimization, vol.1, issue.1, pp.139-152, 1980.
DOI : 10.1007/BF01442889

L. Shin-yeu, A hardware implementable two level parallel computing algorithm for general minimum?time control, IEEE Trans. on Automatic Control, vol.37, pp.589-603, 1992.

K. Malanowski, Sufficient Optimality Conditions for Optimal Control Subject to State Constraints, SIAM Journal on Control and Optimization, vol.35, issue.1, pp.205-227, 1997.
DOI : 10.1137/S0363012994267637

K. Malanowski and H. Maurer, Sensitivity analysis for parametric control problems with control-state constraints, Computational Optimization and Applications, vol.32, issue.3, pp.253-283, 1996.
DOI : 10.1007/BF00248267

H. Maurer and H. J. Oberle, Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach, SIAM Journal on Control and Optimization, vol.41, issue.2, 2000.
DOI : 10.1137/S0363012900377419

Y. Meyer, Ondelettes et opérateurs, 1990.

B. M. Miller, The Generalized Solutions of Nonlinear Optimization Problems with Impulse Control, SIAM Journal on Control and Optimization, vol.34, issue.4, pp.1420-1440, 1996.
DOI : 10.1137/S0363012994263214

D. Monnerat and . En-seeiht, Résolution numérique desprobì emes d'optimisation de trajectoires par des méthodes homotopiques, 1996.

J. Noailles and C. T. Le, Contrôle en temps minimal et transfert orbitaì a faible poussée. ´ Equations aux dérivées partielles et applications, articles in honour of J. L. Lions for his 70th birthday, pp.705-724, 1998.

L. Pialot, Résolution deprobì emes de contrôle optimal via les séries de Tchebycheff, 1996.

J. P. Raymond, Optimal control problems in spaces of functions of bounded variation, Differential and Integral Equations, pp.105-136, 1997.

M. Razzaghi and M. Razzaghi, Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations, Journal of the Franklin Institute, vol.327, issue.2, pp.321-328, 1990.
DOI : 10.1016/0016-0032(90)90025-E

D. Redfern, The Maple Handbook, 1996.

W. Rudin, Analyse réelle et complexe, 1978.

L. Schwartz, Topologie générale et analyse fonctionnelle, 1970.

L. F. Shampine, H. A. Watts, and S. Davenport, Solving non?stiff ordinary differential equations?the state of the art, 1975.

G. N. Silva and R. B. Vinter, Necessary Conditions for Optimal Impulsive Control Problems, SIAM Journal on Control and Optimization, vol.35, issue.6, pp.1829-1846, 1997.
DOI : 10.1137/S0363012995281857

H. J. Sussmann, Geometry and Optimal Control in Mathematical Control Theory, 1998.

H. J. Sussmann, Résultats récents sur les courbes optimales in Quelques aspects de la théorie du contrôle, 2000.

M. Urabe, Numerical solution of multi-point boundary value problems in Chebyshev series theory of the method, Numerische Mathematik, vol.14, issue.4, pp.341-366, 1967.
DOI : 10.1007/BF02162424

V. Veliov, On the Time-Discretization of Control Systems, SIAM Journal on Control and Optimization, vol.35, issue.5, pp.1470-1486, 1997.
DOI : 10.1137/S0363012995288987

J. Vlassenbroeck and R. Van-dooren, A Chebyshev technique for solving nonlinear optimal control problems, IEEE Transactions on Automatic Control, vol.33, issue.4, pp.333-340, 1988.
DOI : 10.1109/9.192187

K. Yosida, Functional analysis, 1974.