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

Gennadiy M. Bakan; Alexey V. Sholokhov

doi:10.1615/J Automat Inf Scien.v37.i7.20

Journal of Automation and Information Sciences

Chefredakteur: Arkadiy A. Chikriy (open in a new tab)

Mitherausgebers: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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

Volumen 37, Ausgabe 7, 2005, pp. 10-19

DOI: 10.1615/J Automat Inf Scien.v37.i7.20

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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

ABSTRAKT

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.

REFERENZIERT VON

Sholokhov O. V., Minimum-volume ellipsoidal approximation of the sum of two ellipsoids, Cybernetics and Systems Analysis, 47, 6, 2011. Crossref

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