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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 2, Pages 79–84
(Mi sjim611)
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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
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
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
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https://www.mathnet.ru/eng/sjim611 https://www.mathnet.ru/eng/sjim/v13/i2/p79
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Abstract page: | 270 | Full-text PDF : | 87 | References: | 40 | First page: | 2 |
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