Geodesic
Sufficient optimality conditions for differential imbeddings
Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 621-630

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Sufficient optimality conditions are proved in the form of a maximum principle for the time-optimal problem of transfer from a set $M_0$ into a set $M_1$, where an object's behavior is described by the differential imbedding $\dot x\in F(x)$. 
@article{IM2_1974_8_3_a9,
     author = {V. I. Blagodatskikh},
     title = {Sufficient optimality conditions for differential imbeddings},
     journal = {Izvestiya. Mathematics },
     pages = {621--630},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {1974},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a9/}
}
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V. I. Blagodatskikh. Sufficient optimality conditions for differential imbeddings. Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 621-630. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a9/