The minimal time function associated with a collection of sets
Open Access
- 17 November 2020
- journal article
- research article
- Published by EDP Sciences in ESAIM: Control, Optimisation and Calculus of Variations
- Vol. 26, 93
Abstract
We define the minimal time function associated with a collection of sets which is motivated by the optimal time problem for nonconvex constant dynamics. We first provide various basic properties of this new function: lower semicontinuity, principle of optimality, convexity, Lipschitz continuity, among others. We also compute and estimate proximal, Fréchet and limiting subdifferentials of the new function at points inside the target set as well as at points outside the target. An application to location problems is also given.Keywords
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