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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 2, Pages 79–84 (Mi sjim611)  
This article is cited in 1 scientific paper (total in 1 paper)

Controllability of sum linear systems

A. A. Lomovab

a Sobolev Institute of Mathematics, SB RAS, Novosibirsk
b Novosibirsk State University, Novosibirsk
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Abstract: For two linear systems $S_1$ and $S_2$ described by ordinary matrix difference equations with disjoint sets of solutions $M_1$ and $M_2$ we define the (disjoint) sum system, the set of whose solutions is the sum of $M_1$ and $M_2$. We obtain a controllability criterion for the sum system in the form of conditions on the coefficients of $S_1$ and $S_2$.
Keywords: linear difference equations, sum systems, disjunctive systems, controllability.
Received: 11.06.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 1, Pages 76–81
DOI: https://doi.org/10.1134/S1990478911010091
Bibliographic databases:
Document Type: Article
UDC: 517.926.7
Language: Russian
Citation: A. A. Lomov, “Controllability of sum linear systems”, Sib. Zh. Ind. Mat., 13:2 (2010), 79–84; J. Appl. Industr. Math., 5:1 (2011), 76–81
Citation in format AMSBIB
\Bibitem{Lom10}
\by A.~A.~Lomov
\paper Controllability of sum linear systems
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 2
\pages 79--84
\mathnet{http://mi.mathnet.ru/sjim611}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2839601}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 1
\pages 76--81
\crossref{https://doi.org/10.1134/S1990478911010091}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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