Differential Games of Fractional Order with Impulse Effect

Ivan I. Matychyn; Victoriya V. Onyshchenko

doi:10.1615/JAutomatInfScien.v47.i4.50

Journal of Automation and Information Sciences

Editor chefe: Arkadiy A. Chikriy (open in a new tab)

Editor associados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

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Differential Games of Fractional Order with Impulse Effect

Volume 47, Edição 4, 2015, pp. 43-53

DOI: 10.1615/JAutomatInfScien.v47.i4.50

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Ivan I. Matychyn
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

Victoriya V. Onyshchenko
State University of Telecommunications, Kiev

RESUMO

The paper deals with a game problem of approaching cylindrical terminal set for a dynamic system described by fractional differential equations subject to impulse effect at fixed time instants. By resolving functions method there are obtained the sufficient conditions for a terminal set approaching over a finite time. Theoretical results are illustrated by an example.

Palavras-chave: differential games of fractional order, impulse effect, cylindrical set, factional differential equations, resolving functions method

CITADO POR

Tarasov Vasily, On History of Mathematical Economics: Application of Fractional Calculus, Mathematics, 7, 6, 2019. Crossref
Gomoyunov Mikhail I., Differential Games for Fractional-Order Systems: Hamilton–Jacobi–Bellman–Isaacs Equation and Optimal Feedback Strategies, Mathematics, 9, 14, 2021. Crossref

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