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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337

Выпуски:
Том 52, 2020 Том 51, 2019 Том 50, 2018 Том 49, 2017 Том 48, 2016 Том 47, 2015 Том 46, 2014 Том 45, 2013 Том 44, 2012 Том 43, 2011 Том 42, 2010 Том 41, 2009 Том 40, 2008 Том 39, 2007 Том 38, 2006 Том 37, 2005 Том 36, 2004 Том 35, 2003 Том 34, 2002 Том 33, 2001 Том 32, 2000 Том 31, 1999 Том 30, 1998 Том 29, 1997 Том 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i1.30
pages 24-34

On Discrete Conflict-Controlled Processes Described by Grunvald-Letnikov Fractional Systems

Vladislav J. Zhukovskiy
Lomonosov Moscow State University, Moscow (Russia)
Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine 40 Akadem. Glushkov Ave., Kiev, 03187, Ukraine

Краткое описание

Game problem of bringing a trajectory of quasi-linear system to a cylindrical terminal set is studied. In this connection the subject of investigation is a presentation of solution of the dynamical system. This makes it feasible to analyze in a unified scheme a wide range of game dynamic problems. In this case the use is made of resolving function method as a main tool of investigation. Sufficient conditions for the game termination in a finite number of steps are derived both in a class of strategies using information on the opponent behavior in the past and with the use of stroboscopic strategies. The way of these results application in case of the Grunvald-Letnikov functional systems is pointed out.


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