An approach-evasion game of two controllable objects with restricted manoeuvrability

Two controllable objects of restricted manoeuvrability, moving in a plane so that one tries to approach the other, are treated in a game-theoretic context. An optimal positional strategy is constructed for the pursuer, guaranteeing, for certain constraints on the problem parameters, approach to with...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1993, Vol.57 (3), p.427-437
Main Authors: Zemskov, K.A., Pashkov, A.G.
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Two controllable objects of restricted manoeuvrability, moving in a plane so that one tries to approach the other, are treated in a game-theoretic context. An optimal positional strategy is constructed for the pursuer, guaranteeing, for certain constraints on the problem parameters, approach to within a minimum distance from the evader at a certain time, which is not specified in advance. A computer is used to construct the domain of the evader's initial positions for which the pursuer's optimal strategy proposed in the paper guarantees coincidence capture of the evader within a time not exceeding a prescribed value. Other conditions are imposed on the game parameters so that the pursuer's strategy as constructed here will guarantee the minimum distance between the objects for the entire duration of the game. The paper is related to [1–8].
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(93)90121-2