References
- Colombo , G and Wolenski , PR . 2004 . The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space . J. Global Optim. , 28 : 269 – 282 .
- Colombo , G and Wolenski , PR . 2004 . Variational analysis for a class of minimal time functions in Hilbert spaces . J. Convex Anal. , 11 : 335 – 361 .
- Clarke , FH . 1983 . Optimization and Nonsmooth Analysis , New York : John Wiley & Sons .
- Rockafellar , RT . 1981 . Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization . Math. Oper. Res. , 6 : 427 – 437 .
- Mordukhovich , BS . 2006 . Variational Analysis and Generalized Differentiation , Berlin : Springer-Verlag .
- Alvarez , O , Koike , S and Nakayama , I . 2000 . Uniqueness of lower semicontinuous viscosity solutions for the minimum time problem . SIAM J. Control Optim. , 38 : 470 – 481 .
- Wolenski , PR and Zhuang , Y . 1998 . Proximal analysis and the minimal time function . SIAM J. Control Optim. , 36 : 1048 – 1072 .
- Soravia , P . 1993 . Discontinuous viscosity solutions to Dirichlet problems for Hamilton-Jacobi equations with convex Hamiltonians . Commun. Partial Differ. Eqns , 18 : 1493 – 1514 .
- Soravia , P . 1994 . Generalized motion of a front propagating along its normal direction: A differential games approach . Nonlinear Anal. , 22 : 1247 – 1262 .
- Clarke , FH , Stern , RJ and Wolenski , PR . 1995 . Proximal smoothness and the lower-C 2 property . J. Convex Anal. , 2 : 117 – 144 .
- Burke , JV , Ferris , MC and Qian , M . 1992 . On the Clarke subdifferential of the distance function of a closed set . J. Math. Anal. Appl. , 166 : 199 – 213 .
- Bounkhel , M and Thibault , L . 2002 . On various notions of regularity of sets in non-smooth analysis . Nonlinear Anal. , 48 : 223 – 246 .
- He , YR and Ng , KF . 2006 . Subdifferentials of a minimum time function in Banach spaces . J. Math. Anal. Appl. , 321 : 896 – 910 .
- Mordukhovich , BS and Nam , NM . 2010 . Limiting subgradients of minimal time functions in Banach spaces . J. Global Optim. , 46 : 615 – 633 .
- Morduhovich , BS and Nam , NM . 2005 . Subgradient of distance functions with applications to Lipschizian stability . Math. Program. Ser. B. , 104 : 635 – 668 .
- Mordukhovich , BS . 1976 . Maximum principle in problem of time optimal control with non-smooth constraints . J. Appl. Math. Mech. , 40 : 960 – 969 .
- Rockafellar , RT and Wets , RJ-B . 1998 . Variational Analysis , Berlin : Springer-Verlag .