Geometric Control and Nonsmooth Analysis

Geometric Control and Nonsmooth Analysis

Ancona, Fabio; Bressan, Alberto; Cannarsa, Piermarco; Clarke, Francis; Wolenski, Peter R.

URL: https://www.worldscientific.com/doi/abs/10.1142/9789812776075_0013

DOI: https://doi.org/10.1142/9789812776075_0013

Date: 2020-03-13

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Abstract:

We characterize the state constrained bilateral minimal time function as the unique proximal solution of a partial Hamilton-Jacobi equations with certain boundary conditions. This generalizes [13, Theorem 3.4] where Stern studied the unilateral case.

Citation:

Nour, C. (2008). Characterization of the state constrained bilateral minimal time function. In Geometric Control And Nonsmooth Analysis: In Honor of the 73rd Birthday of H Hermes and of the 71st Birthday of RT Rockafellar (pp. 243-247).

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