an:04108549
Zbl 0676.90108
Levchenkov, A. Y.; Pashkov, A. G.
Differential game of optimal approach of two inertial pursuers to a noninertial evader
EN
J. Optimization Theory Appl. 65, No. 3, 501-518 (1990).
00171865
1990
j
91A24 91A23 91A99
programmed maximin function; one evader; optimal approach; two identical inertial pursuers; value function; focal surface; dispersal surface
The game of the optimal approach of two identical inertial pursuers to a noninertial evader is investigated. The duration of the game is fixed. The payoff functional is the distance between the evader and the closest pursuer when the game terminates. The value function is constructed for all possible positions of the game. The regions where the pursuit is one- to-one and the regions where it is essentially collective are described algorithmically. Some analogies between this game and the linear differential game with elliptical vectograms are indicated. It is noted that the focal surface and the dispersal surface are in the proximity of one another.
A.Y.Levchenkov