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Journal of Automation and Information Sciences
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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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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 of National Academy of Sciences of Ukraine, Kiev, Ukraine

ABSTRACT

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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