J. P. Aubin, Viability theory, Birkhäuser, 1991.
DOI : 10.1007/978-0-8176-4910-4

URL : https://hal.archives-ouvertes.fr/inria-00636570

A. Bayen, E. , C. Tomlin, and C. , Guaranteed Overapproximations of Unsafe Sets for Continuous and Hybrid Systems: Solving the Hamilton-Jacobi Equation Using Viability Techniques, Lecture Notes In Computer Science, vol.2289, pp.90-104, 2002.
DOI : 10.1007/3-540-45873-5_10

P. Cardaliaguet, M. Quincampoix, and P. Saint-pierre, Optimal times for constrained nonlinear control problems without local controllability, Applied Mathematics & Optimization, vol.8, issue.2, pp.21-42, 1997.
DOI : 10.1007/BF02683336

P. Cardaliaguet, M. Quincampoix, and P. Saint-pierre, Set-Valued Numerical Analysis for Optimal Control and Differential Games, Annals of the International Society of Dynamic Games, 1998.
DOI : 10.1007/978-1-4612-1592-9_4

C. C. Chang and C. J. Lin, LIBSVM, ACM Transactions on Intelligent Systems and Technology, vol.2, issue.3, 2001.
DOI : 10.1145/1961189.1961199

G. Deffuant, L. Chapel, and S. Martin, Approximating Viability Kernels With Support Vector Machines, IEEE Transactions on Automatic Control, vol.52, issue.5, pp.933-937, 2007.
DOI : 10.1109/TAC.2007.895881

URL : https://hal.archives-ouvertes.fr/hal-00758886

H. Frankowska, Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation, Applied Mathematics & Optimization, vol.23, issue.4, pp.291-311, 1989.
DOI : 10.1007/BF01448202

M. Lhommeau, L. Jaulin, and L. Hardouin, Inner and outer approximation of capture basin using interval analysis, 4th International Conference on Informatics in Control, Automation and Robotics, 2007.

J. Lygeros, On reachability and minimum cost optimal control, Automatica, vol.40, issue.6, pp.917-927, 2004.
DOI : 10.1016/j.automatica.2004.01.012

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

S. Martin, The Cost of Restoration as a Way of Defining Resilience: a Viability Approach Applied to a Model of Lake Eutrophication, Ecology and Society, vol.9, issue.2, 2004.
DOI : 10.5751/ES-00659-090208

I. Mitchell, A. Bayen, and C. Tomlin, A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games, IEEE Transactions on Automatic Control, vol.50, issue.7, pp.947-957, 2005.
DOI : 10.1109/TAC.2005.851439

A. Moore and C. Atkeson, The parti-game algorithm for variable resolution reinforcement learning in multidimensional state-spaces, Machine Learning, vol.27, issue.5, pp.199-233, 1995.
DOI : 10.1007/BF00993591

P. Saint-pierre, Approximation of the viability kernel, Applied Mathematics & Optimization, vol.14, issue.3, pp.187-209, 1994.
DOI : 10.1007/BF01204182

P. Saint-pierre, Approche ensembliste des systèmes dynamiques, regards qualitatifs et quantitatifs, Matapli, Société de Mathématiques appliquées et Industrielles p, p.66, 2001.

B. Scholkopf and A. Smola, Learning with Kernels: Support Vector Machines, Regularization , Optimization, and Beyond, 2002.

V. Vapnik, The nature of statistical learning theory, 1995.