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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.i8.20
6 pages

About One Class of Integral Games of Approach

Alexander G. Rurenko
Ukrainian Academy of State Administration at the President of the Ukraine, Kyiv

ABSTRACT

We investigate integral games of approach. Their dynamics is described by Volterra integral equations of the second kind with kernels possessing polar singularities. An important class of integral equations whose solutions are expressed through the generalized Mittag-Leffler matrix functions is naturally connected with these games. With the use of asymptotic properties of the scalar generalized Mittag-Leffler functions for model games of approach exact formulas for guaranteed conditions of approach, which are expressed through games parameters, are obtained.


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