Geodesic
On Pontryagin's First Direct Method in Pursuit Problems
Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 163-167

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We describe an example of a three-dimensional linear differential game with convex compact sets of control. In this example, the integrand in Pontryagin's first direct method is discontinuous on a set of positive measure.
Keywords: linear differential game, Pontryagin direct method, convex compact set of control, stroboscopic strategy, Lebesgue measurability, Borel measurability, Aumann integral, Hausdorff metric, Cantor discontinuum. 
A. A. Azamov. On Pontryagin's First Direct Method in Pursuit Problems. Matematičeskie zametki, Tome 90 (2011) no. 2, pp. 163-167. http://geodesic.mathdoc.fr/item/MZM_2011_90_2_a0/
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