Методи побудови інваріантних множин у лінійних різницевих іграх утримання

The constructive methods for building minimal and maximal invariant sets in the discrete case are described. The aim of the chasing player is to keep the trajectory of dynamic system in this set from any point within the acquired set. The aim of the escaping player is contrary. The given example sho...

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Bibliographic Details
Date:2018
Main Authors: Ostapenko, V. V., Tereshchenko, I. M.
Format: Article
Language:Ukrainian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2018
Online Access:http://journal.iasa.kpi.ua/article/view/127322
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:The constructive methods for building minimal and maximal invariant sets in the discrete case are described. The aim of the chasing player is to keep the trajectory of dynamic system in this set from any point within the acquired set. The aim of the escaping player is contrary. The given example shows the importance of different conditions of "a complete sweeping", superimposing on the players' control.