Regularity of the state constrained minimal time function

Nour, C.; Stern, R. J.

Regularity of the state constrained minimal time function

Nour, C.; Stern, R. J.

URI: http://hdl.handle.net/10725/3437

URL: http://www.sciencedirect.com/science/article/pii/S0362546X0500948X

DOI: http://dx.doi.org/10.1016/j.na.2005.11.010

Date: 2016-03-30

Abstract:

The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski, Y. Zhuang, Proximal analysis and the minimal time function, SIAM J. Control Optim. 36 (1998) 1048–1072, Theorem 6.1] in which Wolenski and Zhuang give necessary and sufficient conditions for Lipschitz continuity of the unconstrained minimal time function, and discuss certain ramifications.

Citation:

Nour, C., & Stern, R. J. (2007). Regularity of the state constrained minimal time function. Nonlinear Analysis: Theory, Methods & Applications, 66(1), 62-72.