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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

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

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v42.i1.10
pages 1-18

Attainability Domains for Linear and Some Classes of Nonlinear Discrete Systems and Their Control

Vsevolod M. Kuntsevich
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Alexander B. Kurzhanski
Lomonosov Moscow State University, Russia


We calculate the exact boundaries of attainability domain for nonstationary linear and some classes of nonlinear discrete systems under bounded parametric (multiplicative) and additive disturbances. The proposed algorithm of solving this problem admits efficient parallelization of computations. We also provide a solution to the synthesis problem stated as minimization of a scalar function which is a distance between the center of attainability domain and the origin of coordinates. One can find the examples illustrating application of the suggested algorithms to solution of these two problems.

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