A type of linear game with mixed constraints on the controls
type: Item
instance of: scholarly article
title: A type of linear game with mixed constraints on the controls
zbMATH Open document ID: 0656.90105
DOI: 10.1016/0021-8928(87)90054-2
author: Viktor Ivanovich Ukhobotov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: A game is considered in which the first person's control is subject to a geometric and an integral constraint. The second person can choose a control, subject to the geometric constraint. The game ends at a given instant. The sets of control values and the terminal set are of the same type. The conditions are found for the game to end from a given initial position. The player's controls are constructed, and an example is given. Differential games with mixed constraints were considered by \textit{G. K. Pozharitskij} [J. Appl. Math. Mech. 46, 311-320 (1983; Zbl 0518.90106)] and \textit{Yu. S. Ledyaev} [Tr. Mat. Inst. Steklova 167, 207-215 (1985; Zbl 0597.90100)]. The present types of game may not satisfy the regularity condition of the second paper mentioned above.
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 4072749
zbMATH Keywords: linear game
zbMATH Keywords: fixed instant of termination
zbMATH Keywords: geometric and an integral constraint
zbMATH Keywords: geometric constraint
zbMATH Keywords: mixed constraints
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90054-2
OpenAlex ID: W1979961124
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description: scientific article; zbMATH DE number 4072749