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- W2012125819 abstract "A differential game of simple pursuit is examined in the presence of a convex bounded obstacle or arbitrary form. Both players are prohibited from being inside the obstacle and from intersecting its boundary. The statement of the problem by example of a circular obstacle has been given in the book /1/. A complete solution of the encounter game for the circular obstacle case has been constructed by G.K. Pozharitskii ∗∗ ∗∗ The work was reported in the Institute of Applied Mathematics of the Academy of Sciences of the U.S.S.R at the seminar on the theory of optimal control of motion (see Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No.2, 1979). . A different functional, equal to the players' time of motion up to capture, is used in the present paper; the obstacle's form is not fixed. A method based on the necessary optimality conditions /2,3/ is proposed for the construction of the singular surfaces and the optimal paths in a position pursuit game /4/; -the question of the sufficiency of the proposed construction is not examined. Results of a numerical study for two forms of the obstacle are presented." @default.
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- W2012125819 date "1982-01-01" @default.
- W2012125819 modified "2023-09-25" @default.
- W2012125819 title "Optimal pursuit on a plane in the presence of an obstacle" @default.
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- W2012125819 doi "https://doi.org/10.1016/0021-8928(82)90034-x" @default.
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