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Mat. Zametki, 1977 Volume 21, Issue 3, Pages 415–425 (Mi mzm7969)

A nonlinear differential evasion game

N. Yu. Satimov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: The evasion problem for nonlinear differential games with a target set which is a linear subspace is considered. A sufficient condition for the possibility of avoidance of contact with all points not belonging to the target set is obtained. Examples are considered. This article borders on the investigations of L. S. Pontryagin, E. F. Mishchenko, and B. N. Pshenichnyi.

UDC: 517.9

Received: 23.09.1975


 English version:
Mathematical Notes, 1977, 21:3, 231–237

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