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Optimal avoiding of the pursuiting object. (Russian) Zbl 0881.49025
In the paper the author considers the nonlinear two-dimensional problem of avoiding of a missile pursuiting the target. The control is realized by lateral overloading of the target. The synthesis of optimal control is made under the assumption that the missile and target velocities are constant and the missile obey perfectly the pursuit law. It is shown that the optimal trajectory consists of the part of going into the sighting line and the part of motion along this line.

MSC:
49N70 Differential games and control
49N75 Pursuit and evasion games
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