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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

About One Class of Integral Games of Approach

巻 34, 発行 8, 2002, 6 pages
DOI: 10.1615/JAutomatInfScien.v34.i8.20
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要約

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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