Russian version

# Numerical Solution of a Third-Order Directed Game

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M.A. Zarkh, V.S. Patsko

An examination is made of a linear antagonistic differential game
between two persons with a fixed instant of termination.
The controls
of the players are assumed to be scalar.
The purpose of the first
player is to bring three specified coordinates of the phase vector to
a closed convex bounded set, and the interests of the second player
are opposite to this.
An algorithm for numerical construction of the
set of all initial positions from which the problem can be solved by
the first player is described.
Examples of computer calculations are included.

## Electronic version of the article

zarkhpatsko1988.pdf (1656 KB).

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Zarkh M.A., Patsko V.S.
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**Numerical Solution of a Third-Order Directed Game**
// Soviet J. Comput. Syst. 26 (4), 1988. P. 92–99.

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