J. Aubin and A. Cellina, Differential inclusions, 1984.
URL : https://hal.archives-ouvertes.fr/hal-01075629

M. Bardi and I. Capuzzo-dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Systems & Control: Foundations & Applications, With appendices by Maurizio Falcone and Pierpaolo Soravia, 1997.

M. Bardi and M. Falcone, An Approximation Scheme for the Minimum Time Function, SIAM Journal on Control and Optimization, vol.28, issue.4, pp.950-965, 1990.
DOI : 10.1137/0328053

P. Cannarsa and H. Frankowska, Some Characterizations of Optimal Trajectories in Control Theory, SIAM Journal on Control and Optimization, vol.29, issue.6, pp.1322-1347, 1991.
DOI : 10.1137/0329068

P. Cannarsa and H. Frankowska, Interior sphere property of attainable sets and time optimal control problems, ESAIM: Control, Optimisation and Calculus of Variations, vol.12, issue.2, pp.350-370, 2006.
DOI : 10.1051/cocv:2006002

P. Cannarsa, H. Frankowska, and C. Sinestrari, Optimality conditions and synthesis for the minimum time problem Set-valued analysis in control theory, Set-Valued Analysis, vol.8, issue.1/2, pp.127-148, 2000.
DOI : 10.1023/A:1008726610555

P. Cannarsa and C. Sinestrari, Convexity properties of the minimum time function, Calculus of Variations and Partial Differential Equations, vol.25, issue.3, pp.273-298, 1995.
DOI : 10.1007/BF01189393

P. Cannarsa and C. Sinestrari, Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Progress in Nonlinear Differential Equations and their Applications, 2004.

P. Cannarsa and P. R. Wolenski, Semiconcavity of the value function for a class of differential inclusions, Discrete Contin. Dyn. Syst. Ser. B, vol.29, issue.2, pp.453-466, 2007.

F. H. Clarke, Optimization and nonsmooth analysis, 1983.
DOI : 10.1137/1.9781611971309

F. H. Clarke, Y. Ledyaev, R. J. Stern, and P. R. Wolenski, Nonsmooth analysis and control theory, 1998.
DOI : 10.1007/978-1-4614-1806-1_69
URL : https://hal.archives-ouvertes.fr/hal-00863298

H. Hermes and J. P. Lasalle, Functional analysis and time optimal control, Mathematics in Science and Engineering, vol.56, issue.2, 1969.

N. N. Petrov, The Bellman problem for a time-optimality problem, Prikl. Mat. Meh, vol.34, issue.2, pp.820-826, 1970.

N. N. Petrov, On the bellman function for the time-optimal process problem, Journal of Applied Mathematics and Mechanics, vol.34, issue.5, pp.785-791, 1970.
DOI : 10.1016/0021-8928(70)90060-2

R. T. Rockafellar and R. Wets, Variational analysis, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1998.
DOI : 10.1007/978-3-642-02431-3

C. Sinestrari, Semiconcavity of the value function for exit time problems with nonsmooth target, Communications on Pure and Applied Analysis, vol.3, issue.4, pp.757-774, 2004.
DOI : 10.3934/cpaa.2004.3.757

P. Soravia, H???lder continuity of the minimum-time function forC 1-manifold targets, Journal of Optimization Theory and Applications, vol.25, issue.1, pp.401-421, 1992.
DOI : 10.1007/BF00941476

V. M. Veliov, Lipschitz Continuity of the Value Function in Optimal Control, Journal of Optimization Theory and Applications, vol.25, issue.2, pp.335-363, 1997.
DOI : 10.1023/A:1022683628650

P. R. Wolenski and Y. Zhang, Proximal Analysis and the Minimal Time Function, SIAM Journal on Control and Optimization, vol.36, issue.3, pp.1048-1072, 1998.
DOI : 10.1137/S0363012996299338