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

G. Arechavaleta, J. Laumond, H. Hicheur, and A. Berthoz, Optimizing principles underlying the shape of trajectories in goal oriented locomotion for humans, IEEE / RAS International Conference on Humanoid Robots, 2006.

G. Arechavaleta, J. Laumond, H. Hicheur, and A. Berthoz, On the nonholonomic nature of human locomotion, Autonomous Robots, vol.25, pp.25-35, 2008.

G. Arechavaleta, J. Laumond, H. Hicheur, and A. Berthoz, An optimality principle governing human walking, IEEE Transactions on Robotics, vol.24, issue.1, pp.5-14, 2008.
URL : https://hal.archives-ouvertes.fr/tel-00260990

A. V. Arutyunov and R. B. Vinter, A simple 'finite approximations' proofs of the Pontryagin maximum principle under reduced differentiability hypotheses. Set-Valued Anal, pp.5-24, 2004.

T. Bayen, F. Chitour, P. Jean, and . Mason, Asymptotic analysis of an optimal control problem connected to the human locomotion, Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 2009.

B. Berret, F. Jean, and J. Gauthier, A biomechanical inactivation principle, Proceedings of the Steklov Institute of Mathematics, pp.93-116, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00974994

B. Bonnard and M. Chyba, Singular trajectories and their role in control theory, of Mathématiques & Applications (Berlin) [Mathematics & Applications, 2003.

S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, SIAM, vol.15, 1994.

Y. Chitour, F. Jean, and P. Mason, Optimal control models of the goal-oriented human locomotion. submitted, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00493444

B. Dacorogna, Direct methods in the calculus of variations, 1989.

C. Darlot, J. Gauthier, F. Jean, C. Papaxanthis, and T. Pozzo, The inactivation principle: Mathematical solutions minimizing the absolute work and biological implications for the planning of arm movements, PLoS Comput Biol, 2008.
URL : https://hal.archives-ouvertes.fr/inserm-00705805

R. Kalman, When is a linear control system optimal? ASME Transactions, Journal of Basic Engineering, vol.86, pp.51-60, 1964.

K. Mombaur, A. Truong, and J. Laumond, From human to humanoid locomotion an inverse optimal control approach, Autonomous Robots, vol.28, pp.369-383, 2010.

A. Y. Ng and S. Russell, Algorithms for inverse reinforcement learning, Proc. 17th International Conf. on Machine Learning, pp.663-670, 2000.

L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The mathematical theory of optimal processes. Translated from the Russian by K. N. Trirogoff, 1962.

E. Todorov, Optimal control theory, chapter 12, Bayesian Brain: Probabilistic Approaches to Neural Coding, Doya K, pp.269-298, 2006.