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Sibirskii Zhurnal Industrial'noi Matematiki, 2017, Volume 20, Number 3, Pages 39–50
DOI: https://doi.org/10.17377/sibjim.2017.20.305 (Mi sjim967) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices

A. A. Korobovab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2017.20.305
Abstract: Complete description is given of pointwise degenerate fourth-order linear systems of delay differential equations (with constant coefficients) with semisimple active matrix and nonnilpotent passive matrix. These systems are described in the language of the geometrical invariants of certain elements of the semigroup generated by the matrices of the system.
Keywords: controlled delay linear system, relatively zero controllable system, pointwise completeness of a delay system of ordinary differential equations, degeneration direction, minimal moment of degeneration.
Received: 01.08.2016
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 3, Pages 369–380
DOI: https://doi.org/10.1134/S1990478917030085
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. A. Korobov, “On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices”, Sib. Zh. Ind. Mat., 20:3 (2017), 39–50; J. Appl. Industr. Math., 11:3 (2017), 369–380
Citation in format AMSBIB
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\by A.~A.~Korobov
\paper On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 3
\pages 39--50
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\crossref{https://doi.org/10.17377/sibjim.2017.20.305}
\elib{https://elibrary.ru/item.asp?id=29775043}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 3
\pages 369--380
\crossref{https://doi.org/10.1134/S1990478917030085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028527158}
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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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