Geodesic
The linear differential game of pursuit (analytic theory)
Sbornik. Mathematics, Tome 59 (1988) no. 1, pp. 129-154 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solution of the linear differential game of pursuit without discrimination of the evading object is constructed under certain natural constraints on the form of the differential game, such as smoothness of the boundaries of the sets of admissible values of the control parameters and conditions of general position. A solution is constructed on the basis of a choice of the pursuit control which maximizes the rate of decay of the estimator function of the time of termination of the game and is best possible in a certain sense. The asymptotic behavior of the estimator function at singular points of the differential game is investigated. Bibliography: 6 titles. 
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L. S. Pontryagin; A. S. Mishchenko. The linear differential game of pursuit (analytic theory). Sbornik. Mathematics, Tome 59 (1988) no. 1, pp. 129-154. http://geodesic.mathdoc.fr/item/SM_1988_59_1_a7/

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[3] Pontryagin L. S., “Lineinye differentsialnye igry presledovaniya”, Matem. sb., 112(154) (1980), 307–330 | MR | Zbl

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[6] Pontryagin L. S., Mischenko A. S., “Reshenie lineinoi differentsialnoi igry presledovaniya na osnove alternirovannogo integrirovaniya bez diskriminatsii ubegayuschego ob'ekta”, DAN SSSR, 277:6 (1984), 1330–1334 | MR | Zbl