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Invariant Sets in the Discrete Game of Retention
Authors:S N Amirgalieva  V V Ostapenko  I N Tereshchenko
Affiliation:(1) T. Ryskulov Kazakh Economic University, Almaty, Kazakhstan;(2) “Institute of Applied Systems Analysis” Scientific and Training Center, National Academy of Sciences of Ukraine and of the Ministry of Education and Science of Ukraine, Kiev, Ukraine
Abstract:Differential games of retention are considered. Problems in a new game formulation under full sweeping condition are generalized. The problem of constructing minimum and maximum invariant sets of dynamic systems is analyzed. Two diametrically opposite examples are considered depending on the matrix of the discrete linear equation.__________Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 150–154, March–April 2005.
Keywords:differential game  invariant set  geometric difference  complete sweeping of a set  dynamic system
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