A. A. Agrachev, Gauss-Bonnet formula " for contact sub-Riemannian manifolds , Russian Math, Dokl, vol.381, pp.583-585, 2001.

A. A. Agrachev and N. N. Chtcherbakova, Hamiltonian systems of negative curvature are hyperbolic, Russian Math. Dokl, vol.400, pp.295-298, 2005.

A. A. Agrachev and R. V. Gamkrelidze, The exponential representation of flows and the chronological calculus, English translation ) Math. USSR. Sb, pp.467-532, 1978.

A. A. Agrachev and R. V. Gamkrelidze, Feedback-invariant optimal control theory and differential geometry???I. Regular extremals, Journal of Dynamical and Control Systems, vol.29, issue.3, pp.343-389, 1997.
DOI : 10.1007/BF02463256

A. A. Agrachev and A. V. Sarychev, ON REDUCTION OF A SMOOTH SYSTEM LINEAR IN THE CONTROL, Mathematics of the USSR-Sbornik, vol.58, issue.1, pp.15-30, 1987.
DOI : 10.1070/SM1987v058n01ABEH003090

A. A. Agrachev and I. Zelenko, Geometry of Jacobi curves I, Journal of Dynamical and Control Systems, vol.8, issue.1, pp.93-140, 2002.
DOI : 10.1023/A:1013904801414

A. A. Agrachev and I. Zelenko, Geometry of Jacobi curves II, Journal of Dynamical and Control Systems, vol.8, issue.2, pp.167-215, 2002.
DOI : 10.1023/A:1015317426164

A. A. Agrachev and I. Zelenko, On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs, SIAM Journal on Control and Optimization, vol.46, issue.4
DOI : 10.1137/050623711

D. V. Anosov and Y. G. Sinai, SOME SMOOTH ERGODIC SYSTEMS, Russian Mathematical Surveys, vol.22, issue.5, pp.103-167, 1967.
DOI : 10.1070/RM1967v022n05ABEH001228

V. I. Arnold, Méthodes mathématiques de la mécanique classique, 1974.

D. Bao, S. Chern, and Z. Shen, An Introduction to Riemann-Finsler Geometry, 2000.
DOI : 10.1007/978-1-4612-1268-3

D. Bao and Z. Shen, On the Volume of Unit Tangent Spheres in a Pinsler Manifold, Results in Mathematics, vol.35, issue.4, pp.1-17, 1994.
DOI : 10.1007/BF03322283

R. Berndt, An Introduction to Symplectic Geometry, 2000.
DOI : 10.1090/gsm/026

V. G. Boltyanskij, R. V. Gamkrelidze, and L. S. , Pontryagin, it The theory of optimal processes, I, The maximum principle, Izv. Akad. nauk SSSR, seriya matem, pp.3-42, 1960.

P. Brunovsky, A classification of linear controllable systems, Kybernetika (Prague), vol.6, pp.173-188, 1970.

D. Burago and S. Ivanov, Riemannian tori without conjugate points are flat, Geometric and Functional Analysis, vol.3, issue.4, pp.259-269, 1994.
DOI : 10.1007/BF01896241
URL : http://www.digizeitschriften.de/download/PPN359089402_0004/PPN359089402_0004___log14.pdf

C. Carathéodory, Calculus of Variations, pp.276-460, 1989.

H. Cartan, Cours de Calcul Différentiel, 1967.

D. Mcduff and D. Salamon, Introduction to symplectic topology, 1995.

F. R. Gantmacher, The Theory of Matrices, 1959.

R. B. Gardner and W. F. Shadwick, Feedback equivalence for general control systems, Systems & Control Letters, vol.15, issue.1, pp.15-23, 1990.
DOI : 10.1016/0167-6911(90)90039-W

R. B. Gardner, W. F. Shadwick, and G. R. Wilkens, Feedback equivalence and symmetries of Brunowski normal forms, Dynamics and control of multibody systems, Contemp. Math. 97, pp.115-130, 1988.

R. B. Gardner and G. R. Wilkens, The fundamental theorems of curves and hypersurfaces in centro-affine geometry, Bull. Belgian Math. Society, vol.4, issue.3, pp.379-401, 1997.

E. Hopf, Closed Surfaces Without Conjugate Points, Proceedings of the National Academy of Sciences, vol.34, issue.2, pp.47-51, 1948.
DOI : 10.1073/pnas.34.2.47
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1062913

B. Jakubczyk, Feedback Equivalence of Nonlinear Control Systems, Nonlinear Controllability and Optimal Control, 1990.

B. Jakubczyk, Critical Hamiltonians and feedback invariants, Geometry of feedback and optimal control, Inc. Pure Appl. Math., Marcel Dekker, vol.207, pp.219-256, 1998.

B. Jakubczyk and W. Respondek, Feedback classification of analytic control systems in the plane, Analysis of Controlled Dynamical Systems, pp.262-273, 1991.

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

A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, 1995.
DOI : 10.1017/CBO9780511809187

I. Kupka, On feedback equivalence, Differential geometry, global analysis, and topology Amer, Proc. 12, pp.105-117, 1990.

I. Kupka and J. Pomet, Global Aspects of Feedback Equivalence for a Parametrized Family of Systems, Analysis of Controlled Dynamical Systems, pp.337-346, 1991.

J. M. Lee, Riemannian Manifolds ? An Introduction to Curvature, 1997.

O. Mayer and A. Miller, La géométrie centroaffine des courbes planes, Annales Scientifiques de l'Université de, Jassy, vol.18, pp.234-280, 1933.

J. W. Milnor, Topology from the differentiable viewpoint, 1997.

W. Respondek, Feedback classification of nonlinear control systems in R 2 and R 3 , Geometry of Feedback and Optimal Control, pp.347-382, 1998.

W. Respondek and I. A. , Feedback classification of nonlinear single-input control systems with controllable linearization: normal forms, canonical forms, and invariants, SIAM J. Control Optim, vol.41, pp.1498-1531, 2003.

U. Serres, On the curvature of two-dimensional optimal control systems and Zermelo???s navigation problem, Journal of Mathematical Sciences, vol.3, issue.4
DOI : 10.1007/s10958-006-0153-3

U. Serres, On curvature and feedback classification of two-dimensional optimal control systems, Geom. Zadachi Teor. Upr, pp.134-153, 2004.
DOI : 10.1007/s10958-007-0237-8
URL : https://hal.archives-ouvertes.fr/hal-00706056