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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.v48.i3.30
pages 20-35

Image Structure of Multivalued Mappings in Game Problems of Motion Control

Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Victoriya K. Chikrii
Kiev National Taras Shevchenko University, Kiev


Game problems for dynamical processes, which evolution is specified by representation of the solution and covers wide range of functional differential systems are considered. Special multivalued mappings, structure of which determine results of the approach problem, plays key role in the method scheme. Sufficient conditions of game termination for different forms of the method were obtained, and connection with the first Pontryagin method was ascertained.

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