Geodesic
Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications
Journal of convex analysis, Tome 20 (2013) no. 4, pp. 1095-1112.

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We derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex.
Mots-clés : Bilateral and unilateral minimal time function, linear control system, phi-convexity, proximal analysis, nonsmooth analysis 
@article{JCA_2013_20_4_JCA_2013_20_4_a11,
     author = {C. Nour},
     title = {Proximal {Subdifferential} of the {Bilateral} {Minimal} {Time} {Function} and some {Regularity} {Applications}},
     journal = {Journal of convex analysis},
     pages = {1095--1112},
     publisher = {mathdoc},
     volume = {20},
     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a11/}
}
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C. Nour. Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications. Journal of convex analysis, Tome 20 (2013) no. 4, pp. 1095-1112. http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a11/