Geodesic
On solving a pursuit game problem with fixed termination time
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 251-261
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A pursuit game problem for the first player with fixed termination time is considered. An approximate method is suggested for constructing the positional absorption set, which is the solvability set for the pursuit problem. Recurrence relations are written that define a system of sets approximating the positional absorption set in the phase space of the conflict-controlled system. A resolving control procedure with a guide is described, which copies the controls.
Keywords: game problem, control, differential game, differential inclusion, guide. 
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V. N. Ushakov; D. K. Mikhalev; I. V. Baidosov. On solving a pursuit game problem with fixed termination time. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 4, pp. 251-261. http://geodesic.mathdoc.fr/item/TIMM_2009_15_4_a20/

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