On a discrete game problem with non-convex control vectograms
Keyword(s):
In a normed space of finite dimension, a discrete game problem with fixed duration is considered. The terminal set is determined by the condition that the norm of the phase vector belongs to a segment with positive ends. In this paper, a set defined by this condition is called a ring. At each moment, the vectogram of the first player's controls is a certain ring. The controls of the second player at each moment are taken from balls with given radii. The goal of the first player is to lead a phase vector to the terminal set at a fixed time. The goal of the second player is the opposite. In this paper, necessary and sufficient termination conditions are found, and optimal controls of the players are constructed.
2020 ◽
Vol 30
(1)
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pp. 18-30
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2017 ◽
Vol 27
(1)
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pp. 69-85
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Vol 4
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pp. 38-47
2003 ◽
pp. 151-168
2021 ◽
Vol 27
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pp. 15
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2011 ◽
Vol 11
(02n03)
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pp. 215-226
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2016 ◽
Vol 2016
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pp. 1-6
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