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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v34.i8.10
8 pages

On Positional Control in Integral and Integro-Differential Games of Approach for Systems with Weak Singularities

Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine 40 Akadem. Glushkov Ave., Kiev, 03187, Ukraine
Konstantin Yu. Volyanskiy
Kyiv National Taras Shevehenko University, Kyiv, Ukraine

ABSTRACT

We consider a game approach problem for two kinds of conflict-controlled processes. One of them is described by a system of Volterra linear integral equations, and the other — by a system of integro-differential equations. Every system possesses weak singularities. We obtain sufficient conditions of the existence of solution of the considered problem in a class of positional strategies. The results are illustrated with model examples.


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