Nonlinear differential encounter-evasion games with delay.

*(English. Russian original)*Zbl 0648.90107
Cybernetics 23, No. 3, 418-425 (1987); translation from Kibernetika 1987, No. 3, 109-113 (1987).

Summary: We investigate the problem of avoiding encounter from a specified initial point (encounter-evasion problem) as described by a differential equation with delay in the state vector and its derivative. We derive different conditions for the possibility of evasion, and we find a guaranteed lower bound for the distance from the phase point to the endset.

##### MSC:

91A24 | Positional games (pursuit and evasion, etc.) |

91A23 | Differential games (aspects of game theory) |

91A99 | Game theory |

##### Keywords:

successful evasion conditions; avoiding encounter; encounter-evasion problem; differential equation with delay; guaranteed lower bound for the distance
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\textit{A. P. Konovalov}, Cybernetics 23, No. 3, 418--425 (1987; Zbl 0648.90107); translation from Kibernetika 1987, No. 3, 109--113 (1987)

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##### References:

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