The state constrained bilateral minimal time function

Nour, C.; Stern, R.J.

The state constrained bilateral minimal time function

Nour, C.; Stern, R.J.

URI: http://hdl.handle.net/10725/7398

URL: https://www.sciencedirect.com/science/article/pii/S0362546X07006694

DOI: https://doi.org/10.1016/j.na.2007.09.046

Date: 2018-04-17

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Abstract:

We generalize, to the bilateral case (that is, with variable initial and end points), the main results of Nour and Stern [C. Nour, R.J. Stern, Regularity of the state constrained minimal time function, Nonlinear Anal. 66 (1) (2007) 62–72] and Stern [R.J. Stern, Characterization of the state constrained minimal time function, SIAM J. Control Optim. 43 (2004) 697–707], where the regularity and Hamilton–Jacobi characterization of the state constrained (unilateral) minimal time function were studied.

Citation:

Nour, C., & Stern, R. J. (2008). The state constrained bilateral minimal time function. Nonlinear Analysis: Theory, Methods & Applications, 69(10), 3549-3558.