E. Asarin, T. Dang, and A. Girard, Reachability of non-linear systems using conservative approximations, Proceedings of the 2003 Hybrid Systems: Computation and Control, pp.20-35, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00307007

D. Delchamps, State Space and Input-Output Linear Systems, 1988.
DOI : 10.1007/978-1-4612-3816-4

J. , D. Dora, A. Maignan, M. Mirica-ruse, and S. Yovine, Hybrid computation, 2001.

J. Dumas, T. Gautier, and C. Pernet, Finite field linear algebra subroutines, Proceedings of the 2002 international symposium on Symbolic and algebraic computation , ISSAC '02, pp.63-74, 2002.
DOI : 10.1145/780506.780515

J. Dumas, P. Giorgi, and C. Pernet, FFPACK, Proceedings of the 2004 international symposium on Symbolic and algebraic computation , ISSAC '04, 2004.
DOI : 10.1145/1005285.1005304
URL : https://hal.archives-ouvertes.fr/hal-00018223

R. Fierro, A. K. Das, V. Kumar, and J. P. Ostrowski, Hybrid control of formations of robots, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164), 2001.
DOI : 10.1109/ROBOT.2001.932546
URL : https://repository.upenn.edu/cgi/viewcontent.cgi?article=1023&context=meam_papers

K. Hamon, Contrôle optimal et algorithme de calcul des trajectoires, 2004.

O. Ibarra, S. Moran, and R. Hui, A generalization of the fast LUP matrix decomposition algorithm and applications, Journal of Algorithms, vol.3, issue.1, pp.45-56, 1982.
DOI : 10.1016/0196-6774(82)90007-4

C. Johnson and J. Gibson, Singular solutions in problems of optimal control, IEEE Transactions on Automatic Control, vol.8, issue.1, pp.4-15, 1963.
DOI : 10.1109/TAC.1963.1105505

R. Kalman, CANONICAL STRUCTURE OF LINEAR DYNAMICAL SYSTEMS, Proceedings of the National Academy of Sciences, pp.596-600, 1961.
DOI : 10.1073/pnas.48.4.596
URL : http://doi.org/10.1073/pnas.48.4.596

R. Kalman, Mathematical Description of Linear Dynamical Systems, Journal of the Society for Industrial and Applied Mathematics Series A Control, vol.1, issue.2, pp.152-292, 1963.
DOI : 10.1137/0301010

C. Pernet, Calcul du polynôme caractéristique sur des corps finis, 2003.

H. Pesch, A practical guide to the solutions of real-life optimal control problems. Parametric Optimization, Control Cybernet, vol.23, pp.7-60, 1994.

E. Pinch, Optimal Control and the Calculus of Variations, 1993.

L. Pontryagin, V. Boltiansky, R. Gamkrelidze, and E. Michtchenko, Théorie mathématique des processus optimaux, 1974.

H. 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

A. Rondepierre and J. Dumas, Hybrid optimal control of dynamical systems, 2005.

B. D. Saunders, Black box methods for least squares problems, Proceedings of the 2001 international symposium on Symbolic and algebraic computation , ISSAC '01, 2001.
DOI : 10.1145/384101.384141

M. Zelikin and V. Borisov, Optimal chattering feedback control, Journal of Mathematical Sciences, vol.114, issue.3, pp.1227-1344, 2003.
DOI : 10.1023/A:1022082011808