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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/J Automat Inf Scien.v37.i7.20
pages 10-19

To the Problem of Determining the Set of Attainability of a Controlled Linear System

Gennadiy M. Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
Alexey V. Sholokhov
Institute of Applied Systems Analysis of Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine “Kiev Polytechnical Institute”, Ukraine; State Enterprise of Special Instrument Engineering "Arsenal", Kiev

ABSTRACT

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.


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