Abstract
We consider the minimum-time problem to reach aC 1-manifold target. Using implicit function techniques, under conditions of order 0 and 1 on the vector fields, we prove that the minimum-time function is locally Lipschitz and respectively 1/2-Hölder continuous.
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Communicated by R. Conti
The author wishes to thank M. Bardi for good advice and useful discussions.
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Soravia, P. Hölder continuity of the minimum-time function forC 1-manifold targets. J Optim Theory Appl 75, 401–421 (1992). https://doi.org/10.1007/BF00941476
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DOI: https://doi.org/10.1007/BF00941476