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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

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

Volume 47, Numéro 1, 2015, pp. 24-34
DOI: 10.1615/JAutomatInfScien.v47.i1.30
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RÉSUMÉ

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.

CITÉ PAR
  1. Tarasov Vasily, On History of Mathematical Economics: Application of Fractional Calculus, Mathematics, 7, 6, 2019. Crossref

  2. E. Salukvadze Mindia, I. Zhukovskiy Vladislav, New Approaches to the Solution of Noncooperative Games and Multicriteria Choice Problems, in The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics, 2020. Crossref

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