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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

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 of National Academy of Sciences of Ukraine, Kiev, 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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