%0 Journal Article %A Bakan, Gennadiy M. %A Sholokhov, Alexey V. %D 2005 %I Begell House %N 7 %P 10-19 %R 10.1615/J Automat Inf Scien.v37.i7.20 %T To the Problem of Determining the Set of Attainability of a Controlled Linear System %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,579c29bd1200c859,51184f5c2133dbf9.html %V 37 %X The algorithm of construction of the set of attainability of a controlled linear system with discrete time is proposed. The algorithm is based upon the idea of the use a compression (expansion) operator of the space. Along with the assumption that a disturbance was scalar, it enabled to get the constructive solution of the problem in the class of ellipsoid sets, which approximated the exact solution, using comparatively simple analytic tools. The results of computational modeling are given. %8 2005-12-07