Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations, with appendices by M. Falcone and P. Soravia. Systems and Control: Foundations and Applications, 1997. ,
Solutions de viscosité deséquationsdeséquations de Hamilton-Jacobi, Mathématiques & Applications, vol.17, 1994. ,
The Bellman equation for minimizing the maximum cost, Nonlinear Analysis: Theory, Methods & Applications, vol.13, issue.9, pp.1067-1090, 1989. ,
DOI : 10.1016/0362-546X(89)90096-5
Deterministic state-constrained optimal control problems without controllability assumptions, ESAIM: Control, Optimisation and Calculus of Variations, vol.17, issue.4, pp.10-1051, 2010. ,
DOI : 10.1051/cocv/2010030
URL : https://hal.archives-ouvertes.fr/hal-00415953
Reachability and Minimal Times for State Constrained Nonlinear Problems without Any Controllability Assumption, SIAM Journal on Control and Optimization, vol.48, issue.7, pp.4292-4316, 2010. ,
DOI : 10.1137/090762075
URL : https://hal.archives-ouvertes.fr/hal-00395589
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
A Differential Game with Two Players and One Target, SIAM Journal on Control and Optimization, vol.34, issue.4, pp.1441-1460, 1996. ,
DOI : 10.1137/S036301299427223X
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
Pursuit Differential Games with State Constraints, SIAM Journal on Control and Optimization, vol.39, issue.5, pp.1615-1632, 2000. ,
DOI : 10.1137/S0363012998349327
Some New Regularity Properties for the Minimal Time Function, SIAM Journal on Control and Optimization, vol.44, issue.6, pp.2285-2299, 2006. ,
DOI : 10.1137/050630076
The existence of value in differential games, Memoirs of the American Mathematical Society, vol.0, issue.126, 1972. ,
DOI : 10.1090/memo/0126
Level Sets of Viscosity Solutions: some Applications to Fronts and Rendez-vous Problems, SIAM Journal on Applied Mathematics, vol.54, issue.5, pp.1335-1354, 1994. ,
DOI : 10.1137/S0036139992233069
Semicontinuous Solutions of Hamilton???Jacobi???Bellman Equations with Degenerate State Constraints, Journal of Mathematical Analysis and Applications, vol.251, issue.2, pp.818-838, 2000. ,
DOI : 10.1006/jmaa.2000.7070
Ellipsoidal Techniques for Reachability Under State Constraints, SIAM Journal on Control and Optimization, vol.45, issue.4, pp.1369-1394, 2006. ,
DOI : 10.1137/S0363012903437605
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.111.6316
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=10.1.1.74.9211
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 viability approach for optimal control with infimum cost, Annals. Stiint. Univ. Al. I. Cuza Iasi,s.I a, pp.113-132, 2002. ,
Optimal Control with State-Space Constraint I, SIAM Journal on Control and Optimization, vol.24, issue.3, pp.552-561, 1986. ,
DOI : 10.1137/0324032
Pursuit???Evasion Problems and Viscosity Solutions of Isaacs Equations, SIAM Journal on Control and Optimization, vol.31, issue.3, pp.604-623, 1993. ,
DOI : 10.1137/0331027
Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations.ii. equations of control problems with state constraints, Diff. and Int. Equations, vol.12, issue.2, pp.275-293, 1999. ,
On the Existence of Solutions to a Differential Game, SIAM Journal on Control, vol.5, issue.1, pp.153-162, 1967. ,
DOI : 10.1137/0305009