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Nour, C.; Stern, R. J.

Regularity of the state constrained minimal time function. (English) Zbl 1111.49022

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 1, 62-72 (2007).
Summary: The regularity of the state constrained minimal time function is studied. We generalize [P. Wolenski and Y. Zhuang, SIAM J. Control Optim. 36, 1048–1072 (1998; Zbl 0930.49016), 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.

Cited in 1 Review
Cited in 7 Documents

MSC:

49L20 Dynamic programming in optimal control and differential games
49J52 Nonsmooth analysis

Keywords:

state constrained minimal time function; proto-Lipschitz; Lipschitz; nonsmooth analysis; tangent and normal cones; proximal Hamilton-Jacobi inequalities

Citations:

Zbl 0930.49016
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Full Text: DOI

References:

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