Journal of Automation and Information Sciences
Publication de 12 numéros par an
ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
About One Class of Integral Games of Approach
Volume 34,
Numéro 8, 2002,
6 pages
DOI: 10.1615/JAutomatInfScien.v34.i8.20
RÉSUMÉ
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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